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Content available remote Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
Słomińska J.
Bulletin of the Polish Academy of Sciences. Mathematics
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2012
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Vol. 60, no 3
219--239
EN
The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.
2
Content available remote Morita equivalences of functor categories and decompositions of functors defined on a category associated to algebras with one-side units
Słomińska J.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2011
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Vol. 59, no 1
33-40
EN
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.
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