On the relation between length functions and exact Sylvester rank functions

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-modules.

Bibliographic Details
Main Author: Virili Simone
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.1515/taa-2019-0006