On pure global dimension of locally finitely presented Grothendieck categories
Daniel Simson (1977)
Fundamenta Mathematicae
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Daniel Simson (1977)
Fundamenta Mathematicae
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Mesablishvili, Bachuki (2002)
Theory and Applications of Categories [electronic only]
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J. Garcia, D. Simson (1997)
Colloquium Mathematicae
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Stovicek, Jan (2010)
Documenta Mathematica
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Hébert, Michel (2010)
Theory and Applications of Categories [electronic only]
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Daniel Simson (1978)
Fundamenta Mathematicae
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José A. de la Peña, Idun Reiten (2007)
Colloquium Mathematicae
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Let A be a finite-dimensional algebra over a field k. We discuss the existence of trisections (mod₊ A,mod₀ A,mod₋ A) of the category of finitely generated modules mod A satisfying exactness, standardness, separation and adjustment conditions. Many important classes of algebras admit trisections. We describe a construction of algebras admitting a trisection of their module categories and, in special cases, we describe the structure of the components of the Auslander-Reiten quiver lying...
Daniel Simson, Andrzej Skowroński (1978)
Fundamenta Mathematicae
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J. L. García, M. Saorín (1988)
Extracta Mathematicae
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D. N. Dikranjan, E. Gregorio, A. Orsatti (1991)
Rendiconti del Seminario Matematico della Università di Padova
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José L. Gómez Pardo, Francisco de A. Guil Asensio (1992)
Publicacions Matemàtiques
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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.