Quasi-discriminator varieties-Reference-Cited by-同舟云学术

Quasi-discriminator varieties

Published:2014-05 Issue:03 Volume:24 Page:375-411
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Paoli Francesco¹,Ledda Antonio¹,Kowalski Tomasz²,Spinks Matthew¹

Affiliation:

1. Dipartimento di Pedagogia, Psicologia, Filosofia, Università di Cagliari, Via Is Mirrionis 1, Cagliari 09123, Italy

2. Department of Mathematics and Statistics, La Trobe University, Bundoora, VIC 3086, Australia

Abstract

We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator varieties. Finally, we completely describe the lattice of subvarieties of the pure pointed quasi-discriminator variety, providing an explicit equational base for each of its members.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196714500179

Reference54 articles.

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5. Memoirs of the American Mathematical Society;Blok W. J.,1989

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