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

Skew Boolean algebras and discriminator varieties. (English) Zbl 0821.06013

Algebra Univers. 33, No. 3, 387-398 (1995).
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.
Reviewer: L.Esakia (Tbilisi)

Cited in 31 Documents

MSC:

06E99 Boolean algebras (Boolean rings)
08B99 Varieties
06B99 Lattices
06A12 Semilattices
06F35 BCK-algebras, BCI-algebras

Keywords:

discriminator algebra; skew Boolean algebras; meet semilattices; skew lattice; implicative BCK-algebras; discriminator varieties
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\textit{R. J. Bignall} and \textit{J. E. Leech}, Algebra Univers. 33, No. 3, 387--398 (1995; Zbl 0821.06013)
Full Text: DOI

References:

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