Super-De Morgan functions and free De Morgan quasilattices-Reference-Cited by-同舟云学术

Super-De Morgan functions and free De Morgan quasilattices

Published:2014-01-01 Issue:12 Volume:12 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Movsisyan Yuri,Aslanyan Vahagn

Abstract

AbstractA De Morgan quasilattice is an algebra satisfying hyperidentities of the variety of De Morgan algebras (lattices). In this paper we give a functional representation of the free n-generated De Morgan quasilattice with two binary and one unary operations. Namely, we define the concept of super-De Morgan function and prove that the free De Morgan quasilattice with two binary and one unary operations on nfree generators is isomorphic to the De Morgan quasilattice of super-De Morgan functions of nvariables.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s11533-014-0445-7.pdf

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