On the le-semigroups whose semigroup of bi-ideal elements is a normal band
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the le-semigroups whose semigroup of bi-ideal elements is a normal band
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| Creator |
Bhuniya, A.K.
Kumbhakar, M. |
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| 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).
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| Date |
2019-06-16T09:52:30Z
2019-06-16T09:52:30Z 2015 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/155148 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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