Quasi-adequate semigroups. II (Q1186834)
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scientific article; zbMATH DE number 37210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-adequate semigroups. II |
scientific article; zbMATH DE number 37210 |
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Quasi-adequate semigroups. II (English)
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28 June 1992
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In part I [Proc. R. Soc. Edinb., Sect. A 91, 91-99 (1981; Zbl 0501.20042)] \textit{J. B. Fountain} and the author introduced type \(W\) semigroups, in the present paper a weak version of this concept is considered. The main result is a generalization of \textit{P. S. Venkatesan}'s structure theorem for orthodox semigroups [Semigroup Forum 20, 227-231 (1980; Zbl 0445.20036)] to such weak type \(W\) semigroups. Furthermore the largest superabundant full subsemigroup and the largest full subsemigroup (of such weak type \(W\) semigroups) which is a band of cancellative monoids is described.
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orthodox semigroups
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weak type \(W\) semigroups
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superabundant full subsemigroup
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band of cancellative monoids
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