1996•International Journal of Algebra and ComputationRequires access

COMPLETELY 0-SIMPLE SEMIGROUPS OF LEFT QUOTIENTS OF A SEMIGROUP

Phạm Ngọc Ánh, Victoria A. R. Gould, L. Márki

Abstract

In this paper we investigate the class of all completely 0-simple semigroups of left quotients of a given semigroup S. We show that (if the class is non-empty) it has a ‘greatest’ member ∈S which is in a sense the free completely 0-simple semigroup on S, and describe how the other members can be obtained as homomorphic images of [Formula: see text].

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Key concepts: Mathematics, Semigroup, Simple (philosophy), Quotient, Cancellative semigroup, Class (philosophy), Pure mathematics, Homomorphic encryption