Updated bibliography for Algebra in the Stone-Cech Compactification

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P. Anthony, Ideals in the Stone-Cech compactification of noncommutative semigroups, Ph.D. Dissertation (1994), Howard University.

P. Anthony, The smallest ideals in the two natural products on beta S, Semigroup Forum 48 (1994), 363-367.

R. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848.

J. Auslander, On the proximal relation in topological dynamics, Proc. Amer. Math. Soc. 11 (1960), 890-895.

J. Auslander, Minimal flows and their extensions, North Holland, Amsterdam, 1988.

J. Baker and R. Butcher, The Stone-Cech compactification of a topological semigroup, Math. Proc. Cambr. Phil. Soc. 80 (1976), 103-107.

J. Baker, N. Hindman, and J. Pym, kappa-topologies for right topological semigroups, Proc. Amer. Math. Soc. 115 (1992), 251-256.

J. Baker, N. Hindman, and J. Pym, Elements of finite order in Stone-Cech compactifications, Proc. Edinburgh Math. Soc. 36 (1992), 49-54.

J. Baker, A. Lau, and J. Pym, Identities in Stone-Cech compactifications of semigroups, Semigroup Forum, 59 (1999), 415-417.

J. Baker and P. Milnes, The ideal structure of the Stone-Cech compactification of a group, Math. Proc. Cambr. Phil. Soc. 82 (1977), 401-409.

B. Balcar and A. Blaszczyk, On minimal dynamical systems on Boolean algebras, Comment. Math. Univ. Carolinae 31 (1990), 7-11.

B. Balcar and F. Franek, Structural properties of universal minimal dynamical systems for discrete semigroups, Trans. Amer. Math. Soc. 349 (1997), 1697-1724.

B. Balcar and P. Kalasek, Nonexistence of multiple recurrent point in the ultrafilter dynamical systems, Bull Polish Acad. Sciences 37 (1989), 525-529.

H. Bauer, Wahrscheinlichkeitstheorie und grundzuge der Masstheorie, de Gruyter, Berlin, 1978.

J. Baumgartner, A short proof of Hindman's Theorem, J. Comb. Theory (Series A) 17 (1974), 384-386.

K. Berg, D. Gove, and K. Haddad, On the connection between beta compactifications and enveloping semigroups of subshifts, Abstracts Amer. Math. Soc. 15 (1994), 320.

V. Bergelson, Sets of recurrence of Zm-actions and properties of sets of differences in Zm, J. London Math. Soc. 31 (1985), 295-304.

V. Bergelson, A density statement, generalizing Schur's Theorem, J. Comb. Theory (Series A) 43 (1986), 338-343.

V. Bergelson, Ergodic Ramsey Theory, in Logic and Combinatorics, S. Simpson, ed., Contemporary Math. 69 (1987), 63-87.

V. Bergelson, A. Blass, and N. Hindman, Partition theorems for spaces of variable words, Proc. London Math. Soc. 68 (1994), 449-476.

V. Bergelson, W. Deuber, and N. Hindman, Rado's Theorem for finite fields, in Proceedings of the Conference on Sets, Graphs, and Numbers, Budapest, 1991, Colloq. Math. Soc. Janos Bolyai 60 (1992), 77-88.

V. Bergelson, W. Deuber, N. Hindman, and H. Lefmann, Rado's Theorem for commutative rings, J. Comb. Theory (Series A) 66 (1994), 68-92.

V. Bergelson, H. Furstenberg, N Hindman, and Y. Katznelson An algebraic proof of van der Waerden's Theorem, L'enseignement Mathematique 35 (1989), 209-215.

V. Bergelson, H. Furstenberg, and R. McCutcheon, IP-sets and polynomial recurrence, Ergodic Theory Dynam. Systems 16 (1996), 963-974.

V. Bergelson and N. Hindman, Density versions of two generalizations of Schur's Theorem, J. Comb. Theory (Series A) 48 (1988), 32-38.

V. Bergelson and N. Hindman, A combinatorially large cell of a partition of N, J. Comb. Theory (Series A) 48 (1988), 39-52.

V. Bergelson and N. Hindman, Ultrafilters and multidimensional Ramsey theorems, Combinatorica 9 (1989), 1-7.

V. Bergelson and N. Hindman, Nonmetrizable topological dynamics and Ramsey Theory, Trans. Amer. Math. Soc. 320 (1990), 293-320.

V. Bergelson and N. Hindman, Ramsey Theory in non-commutative semigroups, Trans. Amer. Math. Soc. 330 (1992), 433-446.

V. Bergelson and N. Hindman, Some topological semicommutative van der Waerden type theorems and their combinatorial consequences, J. London Math. Soc. 45 (1992), 385-403.

V. Bergelson and N. Hindman, Additive and multiplicative Ramsey Theorems in N -- some elementary results, Comb. Prob. and Comp. 2 (1993), 221-241.

V. Bergelson and N. Hindman, IP*-sets and central sets, Combinatorica 14 (1994), 269-277.

V. Bergelson and N. Hindman, IP* sets in product spaces in Papers on General Topology and Applications, S. Andima et. al. eds., Annals of the New York Academy of Sciences 806 (1996), 28-41.

V. Bergelson and N. Hindman, Partition regular structures contained in large sets are abundant, J. Comb. Theory (Series A), to appear.

V. Bergelson, N. Hindman, and B. Kra, Iterated spectra of numbers --- elementary, dynamical, and algebraic approaches, Trans. Amer. Math. Soc. 348 (1996), 893-912.

V. Bergelson, N. Hindman, and I. Leader, Sets partition regular for n equations need not solve n+1, Proc. London Math. Soc. 73 (1996), 481-500.

V. Bergelson, N. Hindman, and I. Leader, Additive and multiplicative Ramsey Theory in the reals and the rationals, J. Comb. Theory (Series A) 85 (1999), 41-68.

V. Bergelson, N. Hindman, and R. McCutcheon Notions of size and combinatorial properties of quotient sets in semigroups, Topology Proceedings 23 (1998), 23-60.

V. Bergelson, N. Hindman, and B. Weiss, All-sums sets in (0,1] -- category and measure, Mathematika 44 (1997), 61-87.

V. Bergelson and A. Leibman Polynomial extensions of van der Waerden's and Szemerédi's theorems, J. Amer. Math. Soc. 9 (1996), 725-753.

V. Bergelson and A. Leibman, Set-polynomials and polynomial extension of the Hales-Jewett theorem, Ann. of Math. 150 (1999), 33-75.

V. Bergelson and R. McCutcheon, Recurrence for semigroup actions and a non-commutative Schur theorem, Contemporary Mathematics 215 (1998), 205-222.

V. Bergelson and R. McCutcheon An ergodic IP polynomial Szemerédi theorem, Mem. Amer. Math. Soc. 146 (2000).

J. Berglund and N. Hindman, Filters and the weak almost periodic compactification of a discrete semigroup, Trans. Amer. Math. Soc. 284 (1984), 1-38.

J. Berglund and N. Hindman, Sums of idempotents in beta N, Semigroup Forum 44 (1992), 107-111.

J. Berglund, H. Junghenn, and P. Milnes, Compact right topological semigroups and generalizations of almost periodicity, Lecture Notes in Math. 663, Springer-Verlag, Berlin, 1978.

J. Berglund, H. Junghenn, and P. Milnes, Analysis on semigroups, Wiley, N.Y., 1989.

J. Berglund and K. Hofmann, Compact semitopological semigroups and weakly almost periodic functions, Lecture Notes in Math. 42, Springer-Verlag, Berlin, 1967.

A. Bernstein, A new kind of compactness for topological spaces, Fund. Math. 66 (1970), 185-193.

A. Blass, The Rudin-Keisler ordering of P-points, Trans. Amer. Math. Soc. 179 (1973), 145-166.

A. Blass, Ultrafilters related to Hindman's finite-unions theorem and its extensions, in Logic and Combinatorics, S. Simpson, ed., Contemporary Math. 69 (1987), 89-124.

A. Blass, Ultrafilters: where topological dynamics = algebra = combinatorics, Topology Proc. 18 (1993), 33-56.

A. Blass and N. Hindman, Sums of ultrafilters and the Rudin-Keisler and Rudin-Frolik orders, in General Topology and Applications, R. Shortt ed., Lecture Notes in Pure and Applied Math. 123 (1990), 59-70.

A. Blass and N. Hindman, On strongly summable ultrafilters and union ultrafilters, Trans. Amer. Math. Soc. 304 (1987), 83-99.

A. Blass, J. Hirst, and S. Simpson, Logical analysis of some theorems of combinatorics and topological dynamics, in Logic and Combinatorics, S. Simpson, ed., Contemporary Math. 69 (1987), 125-156.

M. Blumlinger, Levy group action and invariant measures on beta N, Trans. Amer. Math. Soc. 348 (1996), 5087-5111.

D. Booth, Ultrafilters on a countable set, Ann. Math. Logic 2 (1970), 1-24.

B. Bordbar, Weakly almost periodic functions on N with a negative base, J. London Math. Soc. 57 (1998), 706-720.

B. Bordbar and J. Pym, The weakly almost periodic compactification of a direct sum of finite groups, Math. Proc. Cambr. Phil. Soc. 124 (1998), 421-449.

B. Bordbar and J. Pym, The set of idempotents in the weakly almost periodic compactification of the integers is not closed, Trans. Amer. Math. Soc. 352 (2000), 823-842.

G. Brown and W. Moran, The idempotent semigroup of a compact monothetic semigroup, Proc. Royal Irish Acad., Sect. A, 72 (1972), 17-33.

T. Budak, Compactifying topologised semigroups, Semigroup Forum 46 (1993), 128-129.

T. Budak, N. Isik, and J. Pym, Subsemigroups of Stone-Cech compactifications, Math. Proc. Cambr. Phil. Soc. 116 (1994), 99-118.

R. Butcher, The Stone-Cech compactification of a semigroup and its algebra of measures, Ph.D Dissertation (1975), University of Sheffield.

T. Carlson, Some unifying principles in Ramsey Theory, Discrete Math. 68 (1988), 117-169.

T. Carlson and S. Simpson, A dual form of Ramsey's Theorem, Advances in Math. 53 (1984), 265-290.

E. Cech, On bicompact spaces, Ann. of Math. 38 (1937), 823-244.

C. Chou, On a geometric property of the set of invariant means on a group, Proc. Amer. Math. Soc. 30 (1971), 296-302.

G. Choquet, Construction d'ultrafilters sur N, Bull. Sci. Math. 92 (1968), 41-48.

J. Christensen, Joint continuity of separately continuous functions, Proc. Amer. Math. Soc. 82 (1981), 455-461.

P. Civin and B. Yood, The second conjugate space of a Banach algebra as an algebra, Pacific J. Math. 11 (1961), 847-870.

J. Clay, Nearrings: geneses and applications, Oxford Press, 1992.

W. Comfort, Ultrafilters: some old and some new results, Bull. Amer. Math. Soc. 83 (1977), 417-455.

W. Comfort, Some recent applications of ultrafilters to topology, in Proceedings of the Fourth Prague Topological Symposium, 1976, J. Novak, ed., Lecture Notes in Math. 609 (1977), 34-42.

W. Comfort, Ultrafilters: an interim report, Surveys in General Topology, Academic Press, New York, 1980, 33-54.

W. Comfort and S. Negrepontis, The theory of ultrafilters, Springer-Verlag, Berlin, 1974.

M. Daguenet-Teissier, Ultrafiltres a la facon de Ramsey, Trans. Amer. Math. Soc. 250 (1979), 91-120.

D. Davenport, The algebraic properties of closed subsemigroups of ultrafilters on a discrete semigroup, Ph.D. Dissertation (1987), Howard University.

D. Davenport, The minimal ideal of compact subsemigroups of beta S, Semigroup Forum 41 (1990), 201-213.

D. Davenport and N. Hindman, Subprincipal closed ideals in beta N, Semigroup Forum 36 (1987), 223-245.

D. Davenport and N. Hindman, A proof of van Douwen's right ideal theorem, Proc. Amer. Math. Soc. 113 (1991), 573-580.

D. Davenport, N. Hindman, I. Leader, and D. Strauss, Continuous homomorphisms on beta N and Ramsey Theory, New York J. Math. 6 (2000), 73-86.

M. Day, Amenable semigroups, Illinois J. Math. 1 (1957), 509-544.

W. Deuber, Partitionen und lineare Gleichungssysteme, Math. Zeit. 133 (1973), 109-123.

W. Deuber, D. Gunderson, N. Hindman, and D. Strauss, Independent finite sums for K_m-free graphs, J. Comb. Theory (Series A) 78 (1997), 171-198.

W. Deuber and N. Hindman, Partitions and sums of (m,p,c)-sets, J. Comb. Theory (Series A) 45 (1987), 300-302.

W. Deuber, N. Hindman, I. Leader, and H. Lefmann, Infinite partition regular matrices, Combinatorica 15 (1995), 333-355.

E. van Douwen, The Cech-Stone compactification of a discrete groupoid, Topology and its Applications 39 (1991), 43-60.

N. Dunford and J. Schwartz, Linear Operators, I., Wiley, New York, 1958.

E. Ellentuck, A new proof that analytic sets are Ramsey, J. Symb. Logic 39 (1974), 163-165.

R. Ellis, A note on the continuity of the inverse, Proc. Amer. Math. Soc. 8 (1957), 372-373.

R. Ellis, Locally compact transformation groups, Duke Math. J. 24 (1957), 119-125.

R. Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960), 272-281.

R. Ellis, Lectures on topological dynamics, Benjamin, New York, 1969.

A. El-Mabhouh, J. Pym, and D. Strauss, On the two natural products in a Stone-Cech compactification, Semigroup Forum 48 (1994), 255-257.

A. El-Mabhouh, J. Pym, and D. Strauss, Subsemigroups of beta N, Topology and its Applications 60 (1994), 87-100.

P. Erdos, Problems and results on combinatorial number theory, II, J. Indian Math. Soc. 40 (1976), 285-298.

S. Ferri and D. Strauss, Ideals, idempotents and right cancelable elements in the uniform compactification, Semigroup Forum, to appear.

M. Filali, The uniform compactification of a locally compact abelian group, Proc. Cambr. Phil. Soc. 108 (1990), 527-538.

M. Filali, Right cancellation in beta S and UG, Semigroup Forum 52 (1996), 381-388.

M. Filali, Weak p-points and cancellation in beta S, in Papers on General Topology and Applications, S. Andima et. al. eds., Annals of the New York Academy of Sciences 806 (1996), 130-139.

M. Filali, On the semigroup beta S, Semigroup Forum 58 (1999), 241-247.

D. Fremlin, Consequences of Martin's Axiom, Cambridge Univ. Press, Cambridge, 1984.

Z. Frolik, Sums of ultrafilters, Bull. Amer. Math. Soc. 73 (1967), 87-91.

Z. Frolik, Fixed points of maps of beta (N), Bull. Amer. Math. Soc. 74 (1968), 187-191.

H. Furstenberg, Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions, J. d'Analyse Math. 31 (1977), 204-256.

H. Furstenberg, Recurrence in ergodic theory and combinatorical number theory, Princeton University Press, Princeton, 1981.

H. Furstenberg and Y. Katznelson, Idempotents in compact semigroups and Ramsey Theory, Israel J. Math. 68 (1989), 257-270.

H. Furstenberg and B. Weiss, Topological dynamics and combinatorial number theory, J. d'Analyse Math. 34 (1978), 61-85.

S. Garcia-Ferreira, Three orderings on beta(omega) \ omega, Topology and its Applications 50 (1993), 199-216.

S. Garcia-Ferreira, Comfort types of ultrafilters, Proc. Amer. Math. Soc. 120 (1994), 1251-1260.

S. Garcia-Ferreira, N. Hindman and D. Strauss, Orderings of the Stone-Cech remainder of a discrete semigroup, Topology and its Applications 97 (1999), 127-148.

L. Gillman and M. Jerison, Rings of continuous functions, van Nostrand, Princeton, 1960.

S. Glasner, Divisibility properties and the Stone-Cech compactification, Canad. J. Math. 32 (1980), 993-1007.

S. Glasner, On minimal actions of Polish groups, Proceedings of the 8th Prague topological symposium (1996), to appear.

A. Gleason, Projective topological spaces, Illinois J. Math. 2 (1958), 482-489.

I. Glicksberg and K. de Leeuw, Applications of almost periodic compactifications, Acta Math. 105 (1961), 63-97.

R. Graham, S. Lin, and C. Lin, Spectra of numbers, Math. Mag. 51 (1978), 174-176.

R. Graham and B. Rothschild, Ramsey's Theorem for n-parameter sets, Trans. Amer. Math. Soc. 159 (1971), 257-292.

R. Graham, B. Rothschild, and J. Spencer, Ramsey Theory, Wiley, New York, 1990.

A. Grothendieck, Criteres de compacite dans les espaces fonctionels generaux, Amer. J. Math. 74 (1952), 168-186.

A. Hales and R. Jewett, Regularity and positional games, Trans. Amer. Math. Soc. 106 (1963), 222-229.

E. Hewitt and K. Ross, Abstract Harmonic Analysis, I, Springer-Verlag, Berlin, 1963.

E. Hewitt and K. Stromberg, Real and Abstract Analysis, Springer-Verlag, Berlin, 1965.

D. Hilbert, Uber die Irreduzibilitat ganzer rationaler Funktionen mit ganzzahlingen Koeffizienten, J. Reine Angew. Math. 110 (1892), 104-129.

N. Hindman, The existence of certain ultrafilters on N and a conjecture of Graham and Rothschild, Proc. Amer. Math. Soc. 36 (1972), 341-346.

N. Hindman, Finite sums from sequences within cells of a partition of N, J. Comb. Theory (Series A) 17 (1974), 1-11.

N. Hindman, Partitions and sums of integers with repetition, J. Comb. Theory (Series A) 27 (1979), 19-32.

N. Hindman, Partitions and sums and products of integers, Trans. Amer. Math. Soc. 247 (1979), 227-245.

N. Hindman, Simultaneous idempotents in beta N \ N and finite sums and products in N, Proc. Amer. Math. Soc. 77 (1979), 150-154.

N. Hindman, Ultrafilters and combinatorial number theory, in Number Theory Carbondale 1979, M. Nathanson ed., Lecture Notes in Math. 751 (1979), 119-184.

N. Hindman, Partitions and sums and products -- two counterexamples, J. Comb. Theory (Series A) 29 (1980), 113-120.

N. Hindman, Sums equal to products in beta N, Semigroup Forum 21 (1980), 221-255.

N. Hindman, Minimal ideals and cancellation in beta N, Semigroup Forum 25 (1982), 291-310.

N. Hindman, On density, translates, and pairwise sums of integers, J. Comb. Theory (Series A) 33 (1982), 147-157.

N. Hindman, Partitions and pairwise sums and products, J. Comb. Theory (Series A) 37 (1984), 46-60.

N. Hindman, Ramsey's Theorem for sums, products, and arithmetic progressions, J. Comb. Theory (Series A) 38 (1985), 82-83.

N. Hindman, The minimal ideals of a multiplicative and additive subsemigroup of beta N, Semigroup Forum 32 (1985), 283-292.

N. Hindman, The ideal structure of the space of kappa-uniform ultrafilters on a discrete semigroup, Rocky Mountain J. Math. 16 (1986), 685-701.

N. Hindman, Summable ultrafilters and finite sums, in Logic and Combinatorics, S. Simpson ed., Contemporary Math. 65 (1987), 263-274.

N. Hindman, Some equivalents of the Erdos sum of reciprocals conjecture, European J. Comb. 9 (1988), 39-47.

N. Hindman, Solving equations in beta N, Annals N. Y. Acad. Sci. 552 (1989), 69-73.

N. Hindman, Ultrafilters and Ramsey Theory -- an update, in Set Theory and its Applications, J. Steprans and S. Watson eds., Lecture Notes in Math. 1401 (1989), 97-118.

N. Hindman, The semigroup beta N and its applications to number theory, in The Analytical and Topological Theory of Semigroups -- Trends and Developments, K. Hofmann, J. Lawson, and J. Pym eds., de Gruyter Expositions in Math. 1 (1990), 347-360.

N. Hindman, Strongly summable ultrafilters on N and small maximal subgroups of beta N, Semigroup Forum 42 (1991), 63-75.

N. Hindman, The groups in beta N, in General Topology and Applications, S. Andima et. al. eds., Lecture Notes in Pure and Applied Math. 134 (1991), 129-146.

N. Hindman, The topological-algebraic system(beta N,+,.), in Papers on General Topology and Applications, S. Andima et. al. eds., Annals of the New York Academy of Sciences 704 (1993), 155-163.

N. Hindman, Recent results on the algebraic structure of beta S, Proceedings in Papers on General Topology and Applications, S. Andima et. al. eds., Annals of the New York Academy of Sciences 767 (1995), 73-84.

N. Hindman, Algebra in beta S and its applications to Ramsey Theory, Math. Japonica 44 (1996), 581-625.

N. Hindman, Problems and new results in the algebra of beta S and Ramsey Theory, in Unsolved problems on mathematics for the 21 st Century, J. Abe and S. Tanaka (eds.), IOS Press, Amsterdam, to appear.

N. Hindman, J. Lawson, and A. Lisan, Separating points of beta N by minimal flows, Canadian J. Math. 46 (1994), 758-771.

N. Hindman and I. Leader, Image partition regularity of matrices, Comb. Prob. and Comp. 2 (1993), 437-463.

N. Hindman and I. Leader, The semigroup of ultrafilters near 0, Semigroup Forum 59 (1999), 33-55.

N. Hindman, I. Leader and D. Strauss, Image partition regular matrices -- bounded solutions and preservations of largeness, Discrete Math., to appear.

N. Hindman and H. Lefmann, Partition regularity of (M,P,C)-systems, J. Comb. Theory (Series A) 64 (1993), 1-9.

N. Hindman and H. Lefmann, Canonical partition relations for (m,p,c)-systems, Discrete Math. 162 (1996), 151-174.

N. Hindman and A. Lisan, Does N* contain a topological and algebraic copy of beta N? Topology and its Applications 35 (1990), 291-297.

N. Hindman and A. Lisan, Points very close to the smallest ideal of beta S, Semigroup Forum 49 (1994), 137-141.

N. Hindman, A. Maleki, and D. Strauss, Central sets and their combinatorial characterization, J. Comb. Theory (Series A) 74 (1996), 188-208.

N. Hindman, A. Maleki, and D. Strauss, Linear equations in the Stone-Cech compactification of N, Integers 0 (2000), #A02, 1-20.

N. Hindman and R. McCutcheon, Weak VIP systems in commutative semigroups, Topology Proceedings, to appear.

N. Hindman and R. McCutcheon, VIP systems in partial semigroups Discrete Math., to appear.

N. Hindman, J. van Mill, and P. Simon, Increasing chains of ideals and orbit closures in beta Z, Proc. Amer. Math. Soc. 114 (1992), 1167-1172.

N. Hindman and P. Milnes, The LMC-compactification of a topologized semigroup, Czechoslovak Math. J. 38 (1988), 103-119.

N. Hindman, I. Protasov, and D. Strauss, Strongly summable ultrafilters on abelian groups, Matem. Studii 10 (1998), 121-132.

N. Hindman, I. Protasov, and D. Strauss, Topologies on S determined by idempotents in beta , Topology Proceedings 23 (1998), 155-190.

N. Hindman and J. Pym, Free groups and semigroups in beta N, Semigroup Forum 30 (1984), 177-193.

N. Hindman and J. Pym, Closures of singly generated subsemigroups of beta S, Semigroup Forum 42 (1991), 147-154.

N. Hindman and D. Strauss, Cancellation in the Stone-Cech compactification of a discrete semigroup, Proc. Edinburgh Math. Soc. 37 (1994), 379-397.

N. Hindman and D. Strauss, Nearly prime subsemigroups of beta N, Semigroup Forum 51 (1995), 299-318.

N. Hindman and D. Strauss, Topological and algebraic copies of N* in N*, New York J. Math. 1 (1995), 111-119.

N. Hindman and D. Strauss, Chains of idemptotents in beta N, Proc. Amer. Math. Soc. 123 (1995), 3881-3888.

N. Hindman and D. Strauss, Algebraic and topological equivalences in the Stone-Cech compactification of a discrete semigroup, Topology and its Applications 66 (1995), 185-198.

N. Hindman and D. Strauss, Prime properties of the smallest ideal of beta N, Semigroup Forum 52 (1996), 357-364.

N. Hindman and D. Strauss, Compact subsemigroups of (beta N,+) containing the idempotents, Proc. Edinburgh Math. Soc. 39 (1996), 291-307.

N. Hindman and D. Strauss. An algebraic proof of Deuber's Theorem, Comb. Prob. and Comp. 7 (1998), 167-180.

N. Hindman and W. Woan, Central sets in semigroups and partition regularity of systems of linear equations, Mathematika 40 (1993), 169-186.

K. Hofmann and S. Morris, The structure of compact groups. A primer for the student---a handbook for the expert, de Gruyter, Berlin, 1998.

K. Hofmann and P. Mostert, Elements of compact semigroups, Charles E. Merrill, Columbus, 1966.

P. Johnstone, Stone spaces, Cambridge Univ. Press, Cambridge, 1982.

R. Kadison and J. Ringrose, Fundamentals of the theory of operator algebras (Volume 1), Academic Press, New York, 1983.

M. Katetov, A theorem on mappings, Comment. Math. Univ. Carolinae 8 (1967), 431-433.

M. Katetov, Characters and types of point sets, Fund. Math. 50 (1961), 369-380.

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K. Kunen, Weak P-points in N*, Coll. Math. Soc. Janos Bolyai 23 (1978), 741-749.

K. Kunen, Set theory: an introduction to independence proofs, North Holland, Amsterdam, 1980.

A. Lau, P. Milnes, and J. Pym, Locally compact groups, invariant means and the centres of compactifications, J. London Math. Soc. 56 (1997), 77-90.

J. Lawson, Joint continuity in semitopological semigroups, Illinois Math. J. 18 (1972), 275-285.

J. Lawson, Points of continuity for semigroup actions, Trans. Amer. Math. Soc. 284 (1984), 183-202.

J. Lawson and A. Lisan, Transitive flows: a semigroup approach, Mathematika 38 (1991), 348-361.

K. Leeb, A full Ramsey-theorem for the Deuber-category, Colloq. Math. Soc. Janos Bolyai 10 (1975), 1043-1049.

A. Lisan, The ideal structure of the space of ultrafilters on a discrete semigroup, Ph.D. Dissertation (1988), Howard University.

A. Lisan, Free groups in beta N which miss the minimal ideal, Semigroup Forum 37 (1988), 233-239.

N. Macri, The continuity of the Arens product on the Stone-Cech compactification of semigroups, Trans. Amer. Math. Soc. 191 (1974), 185-193.

A. Maleki and D. Strauss, Homomorphisms, ideals and commutativity in the Stone-Cech compactification of a discrete semigroup, Topology and its Applications 71 (1996), 47-61.

P. Matet, Some filters of partitions, J. Symbolic Logic 53 (1988), 540-553.

J. van Mill, An introduction to beta omega, in Handbook of set-theoretic topology, K. Kunen and J. Vaughan, eds., Elsevier, Amsterdam, 1984.

K. Milliken, Ramsey's Theorem with sums or unions, J. Comb. Theory (Series A) 18 (1975), 276-290.

P. Milnes, Compactifications of topological semigroups, J. Australian Math. Soc. 15 (1973), 488-503.

M. Nassar, Recurrent and weakly recurrent points in beta G, Int. J. Math. Sci. 9 (1986), 319-322.

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J. Owings, Problem E2494, Amer. Math. Monthly 81 (1974), 902.

J. Oxtoby, Measure and category, Springer-Verlag, Berlin, 1971.

T. Papazyan, the existence of almost translation invariant ultrafilters on any semigroup, Proc. Amer. Math. Soc. 107 (1989), 1133-1135.

T. Papazyan, Extremal Topologies on a Semigroup, Topology and its Applications 39 (1991), 229-243.

T. Papazyan, Oids, finite sums and the structure of the Stone-Cech compactification of a discrete semigroup, Semigroup Forum 42 (1991), 265-277.

D. Parsons, The centre of the second dual of a commutative semigroup algebra, Math. Proc. Cambr. Phil. Soc. 95 (1984), 71-92.

D. Parsons, Abelian semigroups whose Stone-Cech compactifications have left ideal decompositions, Math. Proc. Cambr. Phil. Soc. 97 (1985), 473-479.

S. Plewik and B. Voigt, Partitions of reals: measurable approach, J. Comb. Theory (Series A) 58 (1991), 136-140.

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I. Protasov, Ultrafilters and topologies on groups (Russian), Sibirsk. Math. J. 34 (1993), 163-180.

I. Protasov, Filters and topologies on semigroups (Russian), Mat. Stud. 3 (1994), 15-28.

I. Protasov, Ideals of a semigroup of ultrafilters of a topological group (Russian), Ukraïn. Mat. Zh. 47 (1995), 506-511. Translation in Ukrainian Math. J. 47 (1995), 588-593.

I. Protasov, Points of joint continuity of a semigroup of ultrafilters of an abelian group (Russian), Mat. Sb. 187 (1996), 131-140.

I. Protasov, Combinatorics of numbers, Mathematical Studies, Monograph Series (Volume 2), VTNL, Ukraine, 1997.

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I. Protasov, Ultrafilters on abelian groups close to being Ramsey ultrafilters, Mat. Stud. 7 (1997), 133-138.

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