Divisible modules over integral domains
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This article is published in Arkiv för Matematik.The article was published on 1988-12-01 and is currently open access. It has received 24 citations till now. The article focuses on the topics: Integral domain & Abelian group.read more
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Copure injective modules
TL;DR: In this paper, a module is said to be copure injective if it is injective with respect to all modules A ⊂ B with B/A injective.
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One-tilting classes and modules over commutative rings
TL;DR: In this paper, the authors classify all resolving subcategories of finitely presented modules of projective dimension at most 1, and characterize the cases when tilting modules arise from perfect localizations.
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Divisible modules and localization
TL;DR: Fuchs and Salce as discussed by the authors showed that if R is a Matlis domain any submodule of Q/R can be embedded in a countably generated direct sum of quotient fields.
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The tilting-cotilting correspondence
Leonid Positselski,Jan Stovicek +1 more
TL;DR: In this article, a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator is assigned to a contramodule-valued category B with a projective generator and vice versa.
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Infinite Abelian Groups and Homological Methods
TL;DR: In this article, it was shown that a torsion-free group is a direct summand of a direct product of finite cyclic groups if and only if it is complete in the metric defined by these neighborhoods.