A note on \(\omega\)-permutable semigroups
type: Item
instance of: scholarly article
title: A note on \(\omega\)-permutable semigroups
zbMATH Open document ID: 0687.20052
DOI: 10.1007/BF02573263
author: Stefano Varricchio
author: Aldo De Luca
published in: Semigroup Forum
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/135015
review text: It is proved that a finitely generated and periodic semigroup S is finite iff S is \(\omega\)-permutable. The last one means that for any infinite sequence \(s_ i\in S\) there exist \(n>1\) and a non-trivial permutation \(\sigma \in S_ n\) such that \[ s_ 1s_ 2...s_ n=s_{\sigma (1)}s_{\sigma (2)}...s_{\sigma (n)}. \] Some related results are discussed.
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 4125703
zbMATH Keywords: finitely generated
zbMATH Keywords: periodic semigroup
zbMATH Keywords: \(\omega\)-permutable
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4125703