The \(p_n\) sequences of semigroup varieties generated by combinatorial 0-simple semigroups.
type: Item
instance of: scholarly article
title: The \(p_n\) sequences of semigroup varieties generated by combinatorial 0-simple semigroups.
zbMATH Open document ID: 1161.20050
author: Kamilla Kátai-Urbán
author: Csaba Szabó
published in: Algebra Universalis
publication date: 2009-02-17T00:00:00Z
review text: A semigroup is called combinatorial if it does not contain nontrivial subgroups; a Rees matrix semigroup \((I\times G\times\Lambda)\cup\{0\}\) is combinatorial if the group \(G\) is trivial. Here are presented asymptotic formulas for the size of \(n\)-generated free combinatorial semigroups in all 9 varieties generated by combinatorial 0-simple semigroups.
reviewed by: Jaak Henno
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 08B20
zbMATH DE Number: 5508758
zbMATH Keywords: varieties of semigroups
zbMATH Keywords: free spectra of varieties
zbMATH Keywords: combinatorial 0-simple semigroups
zbMATH Keywords: relatively free semigroups
MaRDI profile type: Publication
full work available at URL: s00012-008-2116-7
OpenAlex ID: W2051074199
DOI: 10.1007/S00012-008-2116-7
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description: scientific article; zbMATH DE number 5508758