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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Daniel Simson (1978)
Fundamenta Mathematicae
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Rump, Wolfgang (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Mesablishvili, Bachuki (2002)
Theory and Applications of Categories [electronic only]
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Gigel Militaru (2010)
Open Mathematics
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We call a monoidal category C a Serre category if for any C, D ∈ C such that C ⊗ D is semisimple, C and D are semisimple objects in C. Let H be an involutory Hopf algebra, M, N two H-(co)modules such that M ⊗ N is (co)semisimple as a H-(co)module. If N (resp. M) is a finitely generated projective k-module with invertible Hattory-Stallings rank in k then M (resp. N) is (co)semisimple as a H-(co)module. In particular, the full subcategory of all finite dimensional modules, comodules or...
Ryom-Hansen, Steen (2004)
Journal of Lie Theory
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Andrzej Skowroński (1980)
Fundamenta Mathematicae
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Daniel Simson (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Daniel Simson (1980)
Fundamenta Mathematicae
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Stovicek, Jan (2010)
Documenta Mathematica
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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.