On projective covers of semimodules and perfect semirings

dc.contributor.author	Il'In S.
dc.date.accessioned	2018-09-18T20:07:16Z
dc.date.available	2018-09-18T20:07:16Z
dc.date.issued	2014
dc.identifier.issn	0219-4988
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136702
dc.description.abstract	We consider two natural concepts of perfectness in a semiring context: the perfectness in terms of projective covers, and the perfectness in Bass's sense. For both cases we show that the class of right (left) perfect semirings coincides with the class of right (left) perfect rings; in particular, we completely confirm Conjecture of [Y. Katsov, Toward homological classification of semirings: Serre's conjecture and Bass's perfectness in a semiring context. Algebra Universalis 52 (2004) 197-214]. © 2014 World Scientific Publishing Company.
dc.relation.ispartofseries	Journal of Algebra and its Applications
dc.subject	flat semimodule
dc.subject	perfect (semi)ring
dc.subject	Projective cover
dc.title	On projective covers of semimodules and perfect semirings
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	13
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS02194988-2014-13-6-SID84899922078

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.