Jolanta Słomińska (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Conditions which imply Morita equivalences of functor categories are described. As an application a Dold-Kan type theorem for functors defined on a category associated to associative algebras with one-side units is proved.
Józef Słomiński (1980)
Colloquium Mathematicae
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Šlapal, Josef (1996)
Mathematica Pannonica
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Barr, Michael (2002)
Theory and Applications of Categories [electronic only]
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Michael Barr (1972)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jiri Rosický (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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K. Erdmann, D. Madsen, V. Miemietz (2010)
Colloquium Mathematicae
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We consider functorially finite subcategories in module categories over Artin algebras. One main result provides a method, in the setup of bounded derived categories, to compute approximations and the end terms of relative Auslander-Reiten sequences. We also prove an Auslander-Reiten formula for the setting of functorially finite subcategories. Furthermore, we study the category of modules filtered by standard modules for certain quasi-hereditary algebras and we classify precisely when...
Jiří Rosický (1973)
Commentationes Mathematicae Universitatis Carolinae
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Teimuraz Pirashvili (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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