On the structure of cryptogroups.
type: Item
instance of: scholarly article
title: On the structure of cryptogroups.
zbMATH Open document ID: 1125.20048
author: Guangtian Song
author: Xiangqin Meng
author: Guoxin Liu
published in: Semigroup Forum
publication date: 2007-03-20T00:00:00Z
review text: A completely regular semigroup \(S\) is called a cryptogroup if the Green relation \(\mathcal H\) is a congruence. \(S\) is normal (regular) if \(S/\mathcal H\) is a normal (regular) band. Here is presented a representation of cryptogroups based on a band and a family of homomorphisms between completely simple semigroups; this construction generalizes the earlier constructions of normal (regular) cryptogroups.
Mathematics Subject Classification ID: 20M17
Mathematics Subject Classification ID: 20M10
zbMATH DE Number: 5134747
zbMATH Keywords: completely regular semigroups
zbMATH Keywords: cryptogroups
zbMATH Keywords: bands
reviewed by: Jaak Henno
MaRDI profile type: Publication
full work available at URL: s00233-006-0612-7
OpenAlex ID: W2090802100
DOI: 10.1007/S00233-006-0612-7
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description: scientific article; zbMATH DE number 5134747