Finite basis problem for 2-testable monoids. (Q632275)
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scientific article; zbMATH DE number 5866008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite basis problem for 2-testable monoids. |
scientific article; zbMATH DE number 5866008 |
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Finite basis problem for 2-testable monoids. (English)
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15 March 2011
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Let \(A_2\) and \(B_2\) stand for the 5-element idempotent-generated 0-simple semigroup and for the 5-element Brandt semigroup, respectively. The author shows that if a semigroup \(S\) belongs to the variety generated by \(A_2\) while \(B_2\) does not belong to the variety generated by \(S\), then all subvarieties of the variety generated by the monoid \(S^1\) are finitely based.
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varieties of monoids
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varieties of semigroups
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finite basis problem
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hereditarily finitely based monoids
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inherently non-finitely based semigroups
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0.89820665
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0.8978962
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0.8901303
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0.8785338
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0.8695101
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0.8692491
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0.8684364
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