Certain subsemigroups of orthodox semigroups
type: Item
instance of: scholarly article
title: Certain subsemigroups of orthodox semigroups
zbMATH Open document ID: 0571.20060
DOI: 10.1007/BF02575535
author: P. Venkatesan
published in: Semigroup Forum
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134778
review text: Let S be an orthodox semigroup and E(S) the band of idempotents of S. The author describes (1) the least fundamental inverse congruence on S, (2) the greatest subsemigroup of S containing E(S) which is a union (band) of groups, and (3) a necessary and sufficient condition for the union of maximal subgroups of S to be a subsemigroup of S.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M15
zbMATH DE Number: 3910649
zbMATH Keywords: orthodox semigroup
zbMATH Keywords: band of idempotents
zbMATH Keywords: least fundamental inverse congruence
zbMATH Keywords: union of maximal subgroups
MaRDI profile type: Publication
cites work: Q3848243
cites work: A structure theorem for orthogroups
cites work: Amalgamation and Inverse and Regular Semigroups
cites work: Q4126563
cites work: Congruences on Orthodox Semigroups
description: scientific article; zbMATH DE number 3910649