On the structure of cryptogroups. (Q871623)

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scientific article; zbMATH DE number 5134747
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On the structure of cryptogroups.
scientific article; zbMATH DE number 5134747

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    On the structure of cryptogroups. (English)
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    20 March 2007
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    A completely regular semigroup \(S\) is called a cryptogroup if the Green relation \(\mathcal H\) is a congruence. \(S\) is normal (regular) if \(S/\mathcal H\) is a normal (regular) band. Here is presented a representation of cryptogroups based on a band and a family of homomorphisms between completely simple semigroups; this construction generalizes the earlier constructions of normal (regular) cryptogroups.
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    completely regular semigroups
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    cryptogroups
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    bands
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