Morita equivalence of semirings with local units

In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.

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Published in:Algebra and Discrete Mathematics
Date:2021
Main Authors: Das, M., Gupta, S., Sardar, S.K.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188676
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Morita equivalence of semirings with local units / M. Das, S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 37–60. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Das, M.
Gupta, S.
Sardar, S.K.
author_facet Das, M.
Gupta, S.
Sardar, S.K.
citation_txt Morita equivalence of semirings with local units / M. Das, S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 37–60. — Бібліогр.: 17 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.
first_indexed 2025-11-25T20:57:21Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:57:21Z
publishDate 2021
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Das, M.
Gupta, S.
Sardar, S.K.
2023-03-11T13:13:46Z
2023-03-11T13:13:46Z
2021
Morita equivalence of semirings with local units / M. Das, S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 37–60. — Бібліогр.: 17 назв. — англ.
1726-3255
DOI:10.12958/adm1288
2020 MSC: 16Y60, 16Y99
https://nasplib.isofts.kiev.ua/handle/123456789/188676
In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.
The first author is grateful to CSIR, Govt. of India, for providing research support. The authors are very much thankful to the learned referee for his meticulous referring and subsequent detection of some errors both in mathematics as well as presentation whose compliance has made the paper what it is now. The authors are also grateful to Prof. L. Márki and Prof. P. N. Ánh of Alfréd Rényi Institute of Mathematics, Hungary for a necessary discussion in order to resolve one issue raised by the learned referee. Lastly the authors would like to acknowledge the encouragement provided by Prof. Y. Katsov of Hanover College, USA at the time of preparation of the paper.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Morita equivalence of semirings with local units
Article
published earlier
spellingShingle Morita equivalence of semirings with local units
Das, M.
Gupta, S.
Sardar, S.K.
title Morita equivalence of semirings with local units
title_full Morita equivalence of semirings with local units
title_fullStr Morita equivalence of semirings with local units
title_full_unstemmed Morita equivalence of semirings with local units
title_short Morita equivalence of semirings with local units
title_sort morita equivalence of semirings with local units
url https://nasplib.isofts.kiev.ua/handle/123456789/188676
work_keys_str_mv AT dasm moritaequivalenceofsemiringswithlocalunits
AT guptas moritaequivalenceofsemiringswithlocalunits
AT sardarsk moritaequivalenceofsemiringswithlocalunits