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Products in categories of fractions and universal inversion of homomorphisms

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dc.contributor.author Tronin S.
dc.date.accessioned 2018-09-17T21:15:33Z
dc.date.available 2018-09-17T21:15:33Z
dc.date.issued 1997
dc.identifier.issn 1064-5616
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/134749
dc.description.abstract Main result. If finite direct products exist in a category k and the class of morphisms Σ is such that the category of fractions k[Σ -1] exists, where σ ∈ Σ implies that σ × 1 X ∈ Σ and 1 X × σ ∈ Σ for any objects X, then finite direct products also exist in k[Σ -1] and the canonical functor k → k[Σ -1] preserves these products. Using this theorem analogues of the theory of matrix localization of rings are constructed for arbitrary varieties of universal algebras and for preadditive categories.
dc.relation.ispartofseries Sbornik Mathematics
dc.title Products in categories of fractions and universal inversion of homomorphisms
dc.type Article
dc.relation.ispartofseries-issue 9-10
dc.relation.ispartofseries-volume 188
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1521
dc.source.id SCOPUS10645616-1997-188-910-SID5944222674


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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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