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Title
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V-categories: applications to graded rings
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Author
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Abstract
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| Motivated by the study of V-rings, we introduce the concept of V-category, as a Grothendieck category with the property that any simple object is injective. We present basic properties of V-categories, and we study this concept in the special case of locally finitely generated categories, for instance the category R-gr of all graded left R-modules, where R is a graded ring. We use the characterizations of V-categories in the study of graded V-rings. Since V-rings are closely related to Von Neumann regular rings (in the commutative case these classes of rings coincide), the last part of the article is devoted to graded regular rings. |
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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
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2009
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ISSN
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0092-7872
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Volume/pages
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37
:9
(2009)
, p. 3248-3258
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ISI
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000270582800017
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Full text (Publisher's DOI)
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