A non-finitely based quasi-variety of De Morgan algebras |
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| Authors: | Hernando Gaitán Milton H. Perea |
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| Affiliation: | (1) Departamento de Matmáticas, Universidad Nacional de Colombia Ciudad Universitaria, Bogotá, Colombia;(2) Departamento de Matemáticas y Física, Universidad Tecnológica del Chocó, !["lsquo"]("/content/xl3rq1543t76j4k3/xlarge8216.gif") Diego Luis Córdoba!["rsquo"]("/content/xl3rq1543t76j4k3/xlarge8217.gif") , Quibdó, Chocó, Colombia |
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| Abstract: | In this paper we exhibit a non-finitely based, finitely generated quasi-variety of De Morgan algebras and determine the bottom of the lattices of sub-quasi-varieties of Kleene and De Morgan algebras.Supported by Vicerrectoría Académica de la Facultad de Ciencias and by División de Investigación, Sede Bogotá of the Universidad Nacional de Colombia.Special issue of Studia Logica:  Algebraic Theory of Quasivarieties Presented byM. E. Adams, K. V. Adaricheva, W. Dziobiak, and A. V. Kravchenko |
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| Keywords: | De Morgan algebra finitely based quasi-variety lattice of sub-quasi-varieties |
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