Dualities for some De Morgan algebras with operators and Lukasiewicz algebras-Reference-Cited by-同舟云学术

Dualities for some De Morgan algebras with operators and Lukasiewicz algebras

Published:1983-06 Issue:3 Volume:34 Page:377-393
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Cignoli Roberto,De Gallego Marta S.

Abstract

AbstractAlgebras (A, ∧, ∨, ~, γ, 0, 1) of type (2,2,1,1,0,0) such that (A, ∧, ∨, ~, γ 0, 1) is a De Morgan algebra and γ is a lattice homomorphism from A into its center that satisfies one of the conditions (i) a ≤ γa or (ii) a ≤ ~ a ∧ γa are considered. The dual categories and the lattice of their subvarieties are determined, and applications to Lukasiewicz algebras are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference18 articles.

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