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Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities

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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Main Authors: Gupta, S., Sardar, S.K.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153332
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spelling irk-123456789-1533322019-06-15T01:26:38Z Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities Gupta, S. Sardar, S.K. 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. 2014 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Gupta, S.
Sardar, S.K.
spellingShingle Gupta, S.
Sardar, S.K.
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities
Algebra and Discrete Mathematics
author_facet Gupta, S.
Sardar, S.K.
author_sort Gupta, S.
title 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_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
publisher Інститут прикладної математики і механіки НАН України
publishDate 2014
url http://dspace.nbuv.gov.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.
series Algebra and Discrete Mathematics
work_keys_str_mv AT guptas moritaequivalenceforpartiallyorderedmonoidsandpogsemigroupswithunities
AT sardarsk moritaequivalenceforpartiallyorderedmonoidsandpogsemigroupswithunities
first_indexed 2023-05-20T17:39:06Z
last_indexed 2023-05-20T17:39:06Z
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