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On V-semirings and semirings all of whose cyclic semimodules are injective

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dc.contributor.author Abuhlail J.
dc.contributor.author Il’in S.
dc.contributor.author Katsov Y.
dc.contributor.author Nam T.
dc.date.accessioned 2018-09-18T20:27:53Z
dc.date.available 2018-09-18T20:27:53Z
dc.date.issued 2015
dc.identifier.issn 0092-7872
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140158
dc.description.abstract © Taylor & Francis Group, LLC. In this article, we introduce and study V-and CI-semirings—semirings all of whose simple and cyclic, respectively, semimodules are injective. We describe Vsemirings for some classes of semirings and establish some fundamental properties of V-semirings. We show that all Jacobson-semisimple V-semirings are V-rings. We also completely describe the bounded distributive lattices, Gelfand, subtractive, semisimple, and antibounded, semirings that are CI-semirings. Applying these results, we give complete characterizations of congruence-simple subtractive and congruence-simple antibounded CI-semirings which solve two earlier open problems for these classes of CI-semirings.
dc.relation.ispartofseries Communications in Algebra
dc.subject CI-semirings
dc.subject Congruence-simple semirings
dc.subject Injective semimodules
dc.subject Morita equivalence of semirings
dc.subject Semisimple semirings
dc.subject Simple semimodules
dc.subject V-semirings
dc.title On V-semirings and semirings all of whose cyclic semimodules are injective
dc.type Article
dc.relation.ispartofseries-issue 11
dc.relation.ispartofseries-volume 43
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 4632
dc.source.id SCOPUS00927872-2015-43-11-SID84943519425


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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