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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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Binary Representations of Algebras with At Most Two Binary Operations. A Cayley Theorem for Distributive Lattices
by
Yuri Movsisyan
Yerevan State University, Armenia

Abstract

The binary version of Cayley theorem was first proved for the multiplicative group of a field in [1] (also see [2]). The notion of binary representation of algebras with at most two binary operations is introduced and the binary version of Cayley theorem for distributive lattices is given by hyperidentities. In particular, we get the binary version of Cayley theorem for DeMorgan and Boolean algebras.

References

1. Movsisyan Yu. M., The multiplicative group of field and hyperidentities, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989), 1040-1055. English transl. in Math. USSR Izvestiya 35 (1990), 377-391.

2. Movsisyan Yu. M., Hyperidentites in algebras and varieties, Uspekhi Mat. Nauk 53, 1 (1998), 61-114. English transl. in Russian Mathematical Surveys 53, 1 (1998), 57-108.

Date received: February 25, 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-12.