On sandwich semigroups in Boolean group algebras
type: Item
instance of: scholarly article
title: On sandwich semigroups in Boolean group algebras
zbMATH Open document ID: 0997.20054
DOI: 10.1016/S0022-4049(01)00076-7
published in: Journal of Pure and Applied Algebra
publication date: 2002-06-24T00:00:00Z
review text: This paper considers sandwich semigroups \(BG(R)\), where \(BG\) is the Boolean group algebra of a group \(G\) over \(\{0,1\}\), \(R\in BG\) and \(BG(R)\) is \(BG\) with modified multiplication \(aRb\). This paper determines Green's relations, idempotents, regular elements, and maximal subgroups in \(BG(R)\).
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 1758346
zbMATH Keywords: Boolean group algebras
zbMATH Keywords: sandwich semigroups
zbMATH Keywords: Green relations
zbMATH Keywords: idempotents
zbMATH Keywords: regular elements
zbMATH Keywords: maximal subgroups
author: Jian-Miao Cen
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Q3848243
cites work: On the sandwich semigroups of circulant Boolean matrices
cites work: Q3958592
cites work: Q4116627
cites work: On the semigroup of binary relations on a finite set
description: scientific article; zbMATH DE number 1758346