Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities
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| Creator |
Gupta, S.
Sardar, S.K. |
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| 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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| Date |
2019-06-14T03:22:09Z
2019-06-14T03:22:09Z 2014 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/153332 |
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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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