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Two constructions of De Morgan algebras and De Morgan quasirings

100%

Chajda I., Eigenthaler G.

Discussiones Mathematicae - General Algebra and Applications

2009

tom 29

nr 2

169-180

De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).

Super-De Morgan functions and free De Morgan quasilattices

58%

Movsisyan Y., Aslanyan V.

Open Mathematics

2014

tom 12

nr 12

1749-1761

A 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.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Open Mathematics

1 Aslanyan V.

1 Chajda I.

1 Eigenthaler G.

1 Movsisyan Y.

1 2014

1 2009

Wyniki wyszukiwania

Two constructions of De Morgan algebras and De Morgan quasirings

Super-De Morgan functions and free De Morgan quasilattices