On \(B^*\)-pure semigroups
type: Item
instance of: scholarly article
title: On \(B^*\)-pure semigroups
zbMATH Open document ID: 0535.20040
DOI: 10.1007/BF01958026
published in: Acta Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: Let S be a semigroup. A bi-ideal A of S is called B-pure if \(A\cap xS=xA\) and \(A\cap Sx=Ax\) for all \(x\in S\). By making use of a criterion due to the reviewer [Acta Sci. Math. 33, 315-317 (1972; Zbl 0247.20072)] the author proves that every bi-ideal of S is B-pure if and only if \(S^ 2\) is a semilattice of groups.
Mathematics Subject Classification ID: 20M12
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 3849503
zbMATH Keywords: B-pure bi-ideals
zbMATH Keywords: semilattice of groups
author: Nobuaki Kuroki
reviewed by: Sándor Lajos
MaRDI profile type: Publication
cites work: Q3848243
cites work: Q5659777
cites work: Q4083905
cites work: A theorem on normal semigroups
full work available at URL: https://doi.org/10.1007/bf01958026
OpenAlex ID: W2093876231
description: scientific article; zbMATH DE number 3849503