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On the relation between length functions and exact Sylvester rank functions

On the relation between length functions and exact Sylvester rank functions

Abstract Inspired by the work of Crawley-Boevey on additive functions in locally finitely presented Grothendieck categories, we describe a natural way to extend a given exact Sylvester rank function on the category of finitely presented left modules over a given ring R , to the category of all left R …