Semigroups generated by certain operators on varieties of completely regular semigroups
type: Item
instance of: scholarly article
title: Semigroups generated by certain operators on varieties of completely regular semigroups
zbMATH Open document ID: 0598.20061
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The operators \(C,K,L,T,T_{\ell}\) and \(T_ r\) on the lattice \({\mathcal L}({\mathcal C}{\mathcal R})\) of varieties of completely regular semigroups have played an important role in recent studies of \({\mathcal L}({\mathcal C}{\mathcal R})\). Although each of these operators is idempotent, when applied in various combinations to the trivial variety they yield varieties for which the only upper bound is \({\mathcal C}{\mathcal R}\). The semigroups generated by various subsets of \(\{C,K,L.T,T_ r,T_{\ell}\}\) are determined here in terms of generators and relations.
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 08B15
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 3964194
zbMATH Keywords: varieties of completely regular semigroups
zbMATH Keywords: generators
zbMATH Keywords: relations
author: Mario Petrich
author: Norman R. Reilly
MaRDI profile type: Publication
full work available at URL: pjm.1988.132.151
OpenAlex ID: W2010797850
DOI: 10.2140/PJM.1988.132.151
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description: scientific article; zbMATH DE number 3964194