A generalization of Adjan's theorem on embeddings of semigroups. (Q2853423)
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scientific article; zbMATH DE number 6217638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of Adjan's theorem on embeddings of semigroups. |
scientific article; zbMATH DE number 6217638 |
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21 October 2013
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embedding semigroups into groups
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van Kampen diagrams
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Adyan graphs of semigroup relations
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0.89664906
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0.89628863
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0.8942582
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0.8916025
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0.8900404
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0.88492817
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0.88390905
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A generalization of Adjan's theorem on embeddings of semigroups. (English)
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Graphical diagrams which model transformations of words modulo defining relations are used to improve previously investigated sufficient conditions for a semigroup to be embeddable in a group [\textit{S. I. Adyan}, Proc. Steklov Inst. Math. 85 (1966); translation from Tr. Mat. Inst. Steklov 85 (1966; Zbl 0204.01702); \textit{J. H. Remmers}, Adv. Math. 36, 283-296 (1980; Zbl 0438.20041)] considering also defining relations of the form \(l=1\), i.e. monoids.
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