On idempotent-connected quasi-adequate semigroups (Q1849727)

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scientific article; zbMATH DE number 1837424
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On idempotent-connected quasi-adequate semigroups
scientific article; zbMATH DE number 1837424

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    On idempotent-connected quasi-adequate semigroups (English)
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    1 December 2002
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    The subject of this paper is the class of idempotent-connected quasi-adequate semigroups which is a class that contains all unit orthodox semigroups in the range of abundant semigroups. The main result is a structure theorem that characterizes these semigroups as semidirect products of a band with identity and a cancellative monoid.
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    idempotent-connected quasi-adequate semigroups
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    unit orthodox semigroups
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    abundant semigroups
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    semidirect products
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    bands
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    cancellative monoids
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