The Join of the Pseudovariety J with Permutative Pseudovarieties

Assis de Azevedo
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Assis de Azevedo: Universidade do Minho, Centro de Matemática

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 1-11 from Springer

Abstract: Abstract Using a theorem of Reiterman, which characterizes pseudovarieties as classes of finite semigroups satisfying a set of pseudoidentities, and a characterization of the implict operations on DS, we calculate some joins of the form J∨ V, where V is a permutative pseudovariety. As a consequence we obtain that, for these V, J ∨ V is decidable if and only if V ∩ CS is decidable.

Keywords: Semi Group; Topological Semigroup; Hasse Diagram; Finite Semigroup; Implicit Operation (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-1-4899-2608-1_1

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