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Global dimension of the category of diagrams in an additive category - MaRDI portal

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Global dimension of the category of diagrams in an additive category (Q2911270)

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scientific article; zbMATH DE number 6081683
Language Label Description Also known as
English
Global dimension of the category of diagrams in an additive category
scientific article; zbMATH DE number 6081683

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    12 September 2012
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    abelian structure
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    extension groups
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    spectral sequence
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    Global dimension of the category of diagrams in an additive category (English)
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    The author considers the notion of abelian structure in an additive category with cancellation axiom, which extends the usual notion of proper class of short exact sequence in an abelian category. This is the context used to study cohomology of small categories, relative extension groups in some functor category, spectral sequences of Ext, and relative global dimension of the category of diagrams.
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