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Lattices, Universal Algebra and Applications
May 28-30, 2003
Centro de Algebra da Universidade de Lisboa
Lisbon, Portugal

Organizers
Gabriela Bordalo, Isabel Ferreirim, Maria Joao Saramago, Luis Sequeira

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On DRl-monoids
by
Jan Kuhr
Palacky University Olomouc

Dually residuated lattice ordered monoids (DRl-monoids, for short) can be taken as a generalization of lattice ordered groups (l-groups) including also some algebras strongly related to fuzzy logic. For instance, pseudo MV-algebras/GMV-algebras (i.e. a non-commutative extension of MV-algebras) can be regarded as a particular kind of DRl-monoids. The concept of an ideal in a DRl-monoid is introduced and the lattice of ideals is studied.

Date received: February 28, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cajs-30.