Skew Boolean algebras and discriminator varieties
type: Item
instance of: scholarly article
title: Skew Boolean algebras and discriminator varieties
zbMATH Open document ID: 0821.06013
DOI: 10.1007/BF01190707
author: Robert J. Bignall
author: Jonathan Leech
published in: Algebra Universalis
publication date: 1995-05-30T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 06E99
Mathematics Subject Classification ID: 08B99
Mathematics Subject Classification ID: 06B99
Mathematics Subject Classification ID: 06A12
Mathematics Subject Classification ID: 06F35
zbMATH DE Number: 759389
zbMATH Keywords: discriminator algebra
zbMATH Keywords: skew Boolean algebras
zbMATH Keywords: meet semilattices
zbMATH Keywords: skew lattice
zbMATH Keywords: implicative BCK-algebras
zbMATH Keywords: discriminator varieties
reviewed by: Leo Esakia
MaRDI profile type: Publication
cites work: Q3934450
cites work: Boolean skew algebras
cites work: From the subalgebras of the square to the discriminator
cites work: Q4769085
cites work: Skew lattices in rings
cites work: Skew Boolean algebras
cites work: Normal skew lattices
cites work: The Geometric Structure of Skew Lattices
cites work: On spectra, and the negative solution of the decision problem for identities having a finite nontrivial model
cites work: Q3822096
cites work: Q4128567
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description: scientific article; zbMATH DE number 759389