Finite complete rewriting systems and finite derivation type for small extensions of monoids (Q1270963)
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scientific article; zbMATH DE number 1218671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite complete rewriting systems and finite derivation type for small extensions of monoids |
scientific article; zbMATH DE number 1218671 |
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Finite complete rewriting systems and finite derivation type for small extensions of monoids (English)
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18 September 2000
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\textit{N. Ruškuc} [Proc. Lond. Math. Soc., III. Ser. 76, No. 2, 383-405 (1998; Zbl 0891.20036)] studied finiteness conditions on semigroups. In the present paper, the author proves several results that solve part of an open problem posed by Ruškuc: if a semigroup can be presented by a finite complete rewriting system, then so can any small extension of that semigroup; and if a semigroup has finite derivation type, then so does any small extension of that semigroup.
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word problem
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finiteness conditions on semigroups
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finite complete rewriting systems
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small extensions
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semigroups of finite derivation type
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