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dc.contributor.author |
Gupta, S. |
|
dc.contributor.author |
Sardar, S.K. |
|
dc.date.accessioned |
2019-06-14T03:22:09Z |
|
dc.date.available |
2019-06-14T03:22:09Z |
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dc.date.issued |
2014 |
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dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2010 MSC:20M50, 06F05. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/153332 |
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dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
The first author is grateful to University Grants Commission, Govt of India, for providing research support as JRF. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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