Regular congruence classes of ordered semigroups (Q2739145)

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scientific article; zbMATH DE number 1643518
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Regular congruence classes of ordered semigroups
scientific article; zbMATH DE number 1643518

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    10 March 2002
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    filter
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    regular congruences
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    ordered semigroup
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    Regular congruence classes of ordered semigroups (English)
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    In his doctoral dissertation (1995), and subsequently jointly with Wu Mingfen (1997), the author introduced and studied regular congruences on an ordered semigroup \(S\). In this paper, he determines the subset of \(S\) that can serve as a class of some regular congruences on \(S\). Results obtained by M. Petrich on semigroups (without order) in 1976 then follow as consequences.
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