Epigroups whose subepigroup lattice is 0-modular or 0-distributive.
type: Item
instance of: scholarly article
title: Epigroups whose subepigroup lattice is 0-modular or 0-distributive.
zbMATH Open document ID: 1171.20036
author: Yu Wang
author: Yingqin Jin
published in: Semigroup Forum
publication date: 2009-04-27T00:00:00Z
review text: Let \(S\) be an epigroup, i.e., a semigroup in which some power of any element lies in a subgroup of \(S\). It is known that \(S\) can be regarded as a unitary semigroup with the unitary operation of pseudoinversion. Subsemigroups of \(S\) which are closed under this operation are just the subepigroups. A description of the epigroups named in the title is given.
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 06B15
zbMATH DE Number: 5547494
zbMATH Keywords: epigroups
zbMATH Keywords: subepigroup lattices
zbMATH Keywords: 0-modularity
zbMATH Keywords: 0-distributivity
reviewed by: Grigori I. Zhitomirski
MaRDI profile type: Publication
full work available at URL: s00233-008-9113-1
OpenAlex ID: W1988174661
cites work: Q4846425
cites work: Q4714477
cites work: On lattice properties of epigroups.
cites work: ON THE THEORY OF EPIGROUPS. I
cites work: ON THE THEORY OF EPIGROUPS. II
DOI: 10.1007/S00233-008-9113-1
description: scientific article; zbMATH DE number 5547494