Ordered semigroups containing maximal or minimal elements
type: Item
instance of: scholarly article
title: Ordered semigroups containing maximal or minimal elements
zbMATH Open document ID: 0639.06011
DOI: 10.1007/BF02573135
published in: Semigroup Forum
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134926
review text: In this paper we initiate the study of totally ordered semigroups containing maximal or minimal ideals. We shall describe the algebraic nature of maximal and minimal elements; how their presence generates convex ideals and establish the existence of the kernel in case the semigroup does not contain proper convex ideals. We provide also the structure theorems on one-sided cancellative and algebraically simple totally ordered semigroups containing maximal or minimal elements.
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 20M12
zbMATH DE Number: 4041982
zbMATH Keywords: maximal ideals
zbMATH Keywords: totally ordered semigroups
zbMATH Keywords: minimal ideals
zbMATH Keywords: convex ideals
author: M. V. Satyanarayana
MaRDI profile type: Publication
cites work: Q3848243
cites work: Q4198818
description: scientific article; zbMATH DE number 4041982