On weakly \(\mathcal P\)-regular semigroups
type: Item
instance of: scholarly article
zbMATH Open document ID: 0994.20047
author: Ronghua Zhang
publication date: 2002-01-29T00:00:00Z
Mathematics Subject Classification ID: 20M17
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 1697448
zbMATH Keywords: \(\mathcal P\)-regular semigroups
zbMATH Keywords: idempotent separating congruences
MaRDI profile type: Publication
title: On weakly \(\mathcal P\)-regular semigroups
published in: Advances in Mathematics (Beijing)
review text: \(\mathcal P\)-regular semigroups have been introduced by \textit{M. Yamada} and \textit{M. K. Sen} [Semigroup Forum 39, No. 2, 157-178 (1989; Zbl 0664.20039)] and form a common generalization of orthodox semigroups and regular \(*\)-semigroups. In the paper, the concept is generalized once more to ``weakly \(\mathcal P\)-regular semigroups''. The greatest idempotent separating congruence on such a semigroup is studied and some structural results are obtained (most of them being generalizations of classical results).
reviewed by: K. Auinger
description: scientific article; zbMATH DE number 1697448