On the le-semigroups whose semigroup of bi-ideal elements is a normal band
It is well known that the semigroup 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 B(S) is a band if and only if it is a normal band and give a complete characterization of the le-semigroups S for which the associate...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155148 |
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| Zitieren: | On the le-semigroups whose semigroup of bi-ideal elements is a normal band / A.K. Bhuniya, M. Kumbhakar // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 171-181. — Бібліогр.: 24 назв. — англ. |
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Bhuniya, A.K. Kumbhakar, M. 2019-06-16T09:52:30Z 2019-06-16T09:52:30Z 2015 On the le-semigroups whose semigroup of bi-ideal elements is a normal band / A.K. Bhuniya, M. Kumbhakar // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 171-181. — Бібліогр.: 24 назв. — англ. 1726-3255 2010 MSC:06F05. https://nasplib.isofts.kiev.ua/handle/123456789/155148 It is well known that the semigroup 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 B(S) is a band if and only if it is a normal band and give a complete characterization of the le-semigroups S for which the associated semigroup B(S) is in each of the seven nontrivial subvarieties of normal bands. We also show that the set Bm(S) of all minimal bi-ideal elements of S forms a rectangular band and that Bm(S) is a bi-ideal of the semigroup B(S). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the le-semigroups whose semigroup of bi-ideal elements is a normal band Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| spellingShingle |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band Bhuniya, A.K. Kumbhakar, M. |
| title_short |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| title_full |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| title_fullStr |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| title_full_unstemmed |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| title_sort |
on the le-semigroups whose semigroup of bi-ideal elements is a normal band |
| author |
Bhuniya, A.K. Kumbhakar, M. |
| author_facet |
Bhuniya, A.K. Kumbhakar, M. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
It is well known that the semigroup 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 B(S) is a band if and only if it is a normal band and give a complete characterization of the le-semigroups S for which the associated semigroup B(S) is in each of the seven nontrivial subvarieties of normal bands. We also show that the set Bm(S) of all minimal bi-ideal elements of S forms a rectangular band and that Bm(S) is a bi-ideal of the semigroup B(S).
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155148 |
| citation_txt |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band / A.K. Bhuniya, M. Kumbhakar // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 171-181. — Бібліогр.: 24 назв. — англ. |
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2025-12-07T21:01:07Z |
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2025-12-07T21:01:07Z |
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