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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153332 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619094058008576 |
|---|---|
| author | Gupta, S. Sardar, S.K. |
| author_facet | Gupta, S. Sardar, S.K. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T13:15:50Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-153332 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:15:50Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities Gupta, S. Sardar, S.K. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153332 |
| work_keys_str_mv | AT guptas moritaequivalenceforpartiallyorderedmonoidsandpoγsemigroupswithunities AT sardarsk moritaequivalenceforpartiallyorderedmonoidsandpoγsemigroupswithunities |