Toward homological characterization of semirings by e-injective semimodules

dc.contributor.author	Abuhlail J.
dc.contributor.author	Il’in S.
dc.contributor.author	Katsov Y.
dc.contributor.author	Nam T.
dc.date.accessioned	2018-09-19T20:26:01Z
dc.date.available	2018-09-19T20:26:01Z
dc.date.issued	2017
dc.identifier.issn	0219-4988
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/142902
dc.description.abstract	© 2018 World Scientific Publishing CompanyIn this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are e-injective, describe semirings all of whose projective semimodules are e-injective, and characterize one-sided Noetherian rings in terms of direct sums of e-injective semimodules. Also, we give complete characterizations of bounded distributive lattices, subtractive semirings, and simple semirings, all of whose cyclic (finitely generated) semimodules are e-injective.
dc.relation.ispartofseries	Journal of Algebra and its Applications
dc.subject	(e-)Injective semimodule
dc.subject	(e-)projective semimodule
dc.subject	Morita equivalence of semirings
dc.subject	simple semirings
dc.title	Toward homological characterization of semirings by e-injective semimodules
dc.type	Article in Press
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS02194988-2017-SID85018846013

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