FI-modules over preadditive categories and torsion theories

2019/10/02 by Banerjee, Abhishek
#18E40 #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.00769

Abstract

We work with FI-modules over a small preadditive category \mathcal R, viewed as a ring with several objects. Our aim is to study torsion theories for FI-modules. We are especially interested in torsion theories on finitely generated FI-modules and the category of what we call "shift finitely generated" FI-modules. We also apply these methods to study inductive descriptions of FI-modules over \mathcal R.

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