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Paper IPM / M / 16541  


Abstract:  
We prove a higherdimensional version of the FreydMitchell embedding theorem for nabelian categories. More precisely, for a positive integer nand a small nabelian category M, we show that Mis equivalent to a full subcategory of an abelian category L2(M, G), where L2(M, G)is the category of absolutely pure group valued functors over M. We also show that nkernels and ncokernels in Mare precisely exact sequences of L2(M, G)with terms in M.
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