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AAA76 - 76th Workshop on General Algebra (76. Arbeitstagung Allgemeine Algebra)
May 22-25, 2008
Department of Algebra, Johannes Kepler University Linz
Linz, Austria

Organizers
Erhard Aichinger, Peter Mayr, Matt Nickodemus, Günter Pilz

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Commutative basic algebras
by
Michal Botur
Palacky University Olomouc

Commutative basic algebras have been introduced as a nonassociative generalization of MV-algebras. They are in a 1-1 correspondence with lattices having an antitone involution on every principal filter and satisfying the contraposition law. We show that every commutative basic algebra is subdirect product of chains.

Date received: April 27, 2008

Copyright © 2008 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 Conferences Inc. Document # cawc-35.