On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup (Q1186839)
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scientific article; zbMATH DE number 37214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup |
scientific article; zbMATH DE number 37214 |
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On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup (English)
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28 June 1992
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The semigroups mentioned in the title \{they form the first uninvestigated class in the \textit{M. Petrich} and \textit{N. R. Reilly} diagram [Trans. Am. Math. Soc. 270, 309-325 (1982; Zbl 0484.20026)]\} are exactly the inverse subsemigroups of semidirect products of a Clifford semigroup and a group. Under an additional condition \textit{D. B. McAlister}'s \(P\)-theorem [ibid. 196, 351-370 (1974; Zbl 0297.20072)] can be generalized, too.
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inverse subsemigroups
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semidirect products
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Clifford semigroup
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\(P\)- theorem
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