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
Hauptverfasser: Bhuniya, A. K., Kumbhakar, M.
Format: Artikel
Sprache:English
Veröffentlicht: 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

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Algebra and Discrete Mathematics