On semigroups having the ω-iteration property

Recently it has been proved that a finitely generated semigroup having the <em>ω</em>-iteration property is finite. Here we prove that, under certain conditions, the hypothesis that the generators are finitely many can be omitted. As the added conditions are always satisfied by a group w...

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Bibliographic Details
Main Author: Giuseppe Pirillo
Format: Article
Language:English
Published: Università degli Studi di Catania 1996-12-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/469