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Morphisms determined by objects and flat covers

2014/03/24 by Henning Krause, Krause, Henning
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #math.CT #math.RT

paper · pdf · doi:10.48550/arxiv.1403.6039

12 pages. Added in Version 2 an appendix "Auslander varieties"

arxiv created 2014/06/25 · arxiv updated 2014/06/26

Abstract

We describe a procedure for constructing morphisms in additive categories, combining Auslander's concept of a morphism determined by an object with the existence of flat covers. Also, we show how flat covers are turned into projective covers, and we interprete these constructions in terms of adjoint functors.

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