On the \(le\)-semigroups whose semigroup of bi-ideal elements is a normal band
It is well known that the semigroup \(\mathcal{B}(S)\) of all bi-ideal elements of an \(le\)-semigroup \(S\) is a band if and only if \(S\) is both regular and intra-regular. Here we show that \(\mathcal{B}(S)\) is a band if and only if it is a normal band and give a complete characterization of the...
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Datum: | 2016 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | English |
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Lugansk National Taras Shevchenko University
2016
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Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/141 |
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Назва журналу: | Algebra and Discrete Mathematics |