Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities
We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right operator pomonoids of A are Pos-isomorphic to L and...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/153332 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities / S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 234–249. — Бібліогр.: 23 назв. — англ. |
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Gupta, S. Sardar, S.K. 2019-06-14T03:22:09Z 2019-06-14T03:22:09Z 2014 Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities / S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 234–249. — Бібліогр.: 23 назв. — англ. 1726-3255 2010 MSC:20M50, 06F05. https://nasplib.isofts.kiev.ua/handle/123456789/153332 We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right operator pomonoids of A are Pos-isomorphic to L and R respectively. Using this nice connection between po-Γ-semigroups and Morita equivalence for pomonoids we, in one hand, obtain some Morita invariants of pomonoids using the results of po-Γ-semigroups and on the other hand, some recent results of Morita theory of pomonoids are used to obtain some results of po-Γ-semigroups. The first author is grateful to University Grants Commission, Govt of India, for providing research support as JRF. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
| spellingShingle |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities Gupta, S. Sardar, S.K. |
| title_short |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
| title_full |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
| title_fullStr |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
| title_full_unstemmed |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
| title_sort |
morita equivalence for partially ordered monoids and po-γ-semigroups with unities |
| author |
Gupta, S. Sardar, S.K. |
| author_facet |
Gupta, S. Sardar, S.K. |
| publishDate |
2014 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right operator pomonoids of A are Pos-isomorphic to L and R respectively. Using this nice connection between po-Γ-semigroups and Morita equivalence for pomonoids we, in one hand, obtain some Morita invariants of pomonoids using the results of po-Γ-semigroups and on the other hand, some recent results of Morita theory of pomonoids are used to obtain some results of po-Γ-semigroups.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153332 |
| citation_txt |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities / S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 234–249. — Бібліогр.: 23 назв. — англ. |
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AT guptas moritaequivalenceforpartiallyorderedmonoidsandpoγsemigroupswithunities AT sardarsk moritaequivalenceforpartiallyorderedmonoidsandpoγsemigroupswithunities |
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2025-12-07T13:15:50Z |
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2025-12-07T13:15:50Z |
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