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Twenty First Victorian Algebra Conference with Workshop on Universal Algebraic Techniques in Semigroup Theory and Algebraic Logic
September 29 - October 1, 2003
La Trobe University
Melbourne, Victoria, Australia

Organizers
Marcel Jackson, Brian Davey

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Extending groups to rings
by
Lynn Batten
Deakin University
Coauthors: Robert Coulter and Marie Henderson

For any abelian group G and function f from G to itself, we define a commutative, binary operation on G in terms of f. We give necessary and sufficient conditions on f for G to extend to a commutative, alternative ring under the new operation.

Date received: September 3, 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 # cala-08.