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On projective covers of semimodules and perfect semirings

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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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  • 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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