Browsing by Subject "algebra"

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    Resolutions, relation modules and Schur multipliers for categories
    (2008-09-15) Webb, Peter
    We show that the construction in group cohomology of the Gruenberg resolution associated to a free presentation and the resulting relation module can be copied in the context of representations of categories. We establish five-term exact sequences in the cohomology of categories and go on to show that the Schur multiplier of the category has properties which generalize those of the Schur multiplier of a group.