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Structures of Non-commutative Generalizations of MV-Algebras
by
Jiri Rachunek
Palacky University, Olomouc, Czech Republic
It is well known that MV-algebras are algebraic models of the Lukasiewicz infinite valued propositional logic. We study non-commutative generalizations of MV-algebras called GMV-algebras. These algebras correspond to a non-commutative logic between the Lukasiewicz logic and the classical bilinear propositional logic. Using a duality between GMV-algebras and unital lattice ordered groups, we describe structure properties of GMV-algebras.
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-29.