Embedding of a restriction semigroup into a \(W\)-product.
type: Item
instance of: scholarly article
title: Embedding of a restriction semigroup into a \(W\)-product.
zbMATH Open document ID: 1307.20050
author: Mária B. Szendrei
published in: Semigroup Forum
publication date: 2014-11-03T00:00:00Z
review text: Restriction (also called ample) semigroups are considered as non-regular generalizations of inverse semigroups; they are algebras of type \((2,1,1)\) where both unary operations assign an idempotent (one-sided identity satisfying certain conditions) to each element. Here is provided a necessary and sufficient condition for a restriction semigroup to be embeddable in a \(W\)-product of a semilattice by a monoid; the condition involves constructing a join of transitive closures of recursively defined binary relations. The author proved earlier that each restriction semigroup has a proper cover embeddable in a \(W\)-product of a semilattice by a monoid.
reviewed by: Jaak Henno
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M18
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 6363671
zbMATH Keywords: restriction semigroups
zbMATH Keywords: inverse semigroups
zbMATH Keywords: \(W\)-products
zbMATH Keywords: weakly \(E\)-ample semigroups
zbMATH Keywords: proper covers
MaRDI profile type: Publication
full work available at URL: s00233-013-9516-5
OpenAlex ID: W2088188819
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DOI: 10.1007/S00233-013-9516-5
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description: scientific article; zbMATH DE number 6363671