Skew Boolean algebras and discriminator varieties

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1995 English Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 33, pages 387-398 (issn: 0002-5240, eissn: 1420-8911,

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Authors: Bignall, R. J.; Leech, J. E.;

doi: 10.1007/bf01190707

Skew Boolean algebras and discriminator varieties

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Abstract

The authors introduce and investigate the class of skew Boolean algebras which are also meet semilattices under the natural skew lattice partial order. The class has connections with two other classes of algebras, namely implicative BCK-algebras and algebras in discriminator varieties.

Related Organizations

Monash University
Australia
Monash University, Gippsland campus
Australia
Westmont College
United States

Keywords

Boolean algebras (Boolean rings), discriminator varieties, Varieties, Semilattices, Lattices, skew lattice, BCK-algebras, BCI-algebras, skew Boolean algebras, discriminator algebra, meet semilattices, implicative BCK-algebras

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