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Presentations for subsemigroups - applications to ideals of semigroups

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Abstract

A method for finding presentations for subsemigroups of semigroups defined by presentations is used to investigate when ideals are finitely presented. It is shown that an ideal of a finitely presented semigroup is not necessarily finitely presented, even if it is finitely generated as a semigroup. By way of contrast, it is then proved that in a free product of two, or indeed of finitely many, finite semigroups, every right ideal which is finitely generated as a semigroup is finitely presented. (C) 1998 Elsevier Science B.V.

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Original languageEnglish
Pages (from-to)47-64
Number of pages18
JournalJournal of Pure and Applied Algebra
Volume124
Issue number1-3
Publication statusPublished - Feb 1998

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