Presentations for subsemigroups -- applications to ideals of semigroups (Q1380004)
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scientific article; zbMATH DE number 1121646
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Presentations for subsemigroups -- applications to ideals of semigroups |
scientific article; zbMATH DE number 1121646 |
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Presentations for subsemigroups -- applications to ideals of semigroups (English)
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21 June 1998
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The authors construct an example for an ideal of a finitely presented semigroup which is finitely generated as a semigroup but not finitely presented. Then they prove that in a free product of finitely many finite semigroups, every right ideal which is finitely generated as a semigroup is finitely presented. The proofs use refinements of a method developed by the same authors [in Semigroup Forum 51, No. 1, 47-62 (1995; Zbl 0833.20069)].
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finitely presented semigroups
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finitely generated semigroups
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right ideals
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free products of finite semigroups
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