On pure semi-simple Grothendieck categories I
Daniel Simson (1978)
Fundamenta Mathematicae
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Displaying similar documents to “Ladder functors with an application to representation-finite Artinian rings.”
On pure semi-simple Grothendieck categories I
Morita duality for Grothendieck categories.
José L. Gómez Pardo, Francisco de A. Guil Asensio (1992)
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We survey some recent results on the theory of Morita duality for Grothendieck categories, comparing two different versions of this concept, and giving applications to QF-3 and Qf-3' rings.
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Daniel Simson (1982)
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Raymundo Bautista, Yuriy Drozd, Xiangyong Zeng, Yingbo Zhang (2007)
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Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules. ...
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In this paper we consider a pair of right adjoint contravariant functors between abelian categories and describe a family of dualities induced by them.
On some properties of pure morphisms of commutative rings.
Mesablishvili, Bachuki (2002)
Theory and Applications of Categories [electronic only]
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Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof.
Mesablishvili, Bachuki (2000)
Theory and Applications of Categories [electronic only]
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