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FI-modules over preadditive categories and torsion theories

Banerjee, A (2021) FI-modules over preadditive categories and torsion theories. In: Journal of Pure and Applied Algebra, 225 (5).

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Official URL: https://doi.org/10.1016/j.jpaa.2020.106595


We work with FI-modules over a small preadditive category 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 R. © 2020 Elsevier B.V.

Item Type: Journal Article
Publication: Journal of Pure and Applied Algebra
Publisher: Elsevier B.V.
Additional Information: The copyright for this article belongs to the Authors.
Keywords: FI-modules; Torsion theories
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 17 May 2023 10:01
Last Modified: 17 May 2023 10:01
URI: https://eprints.iisc.ac.in/id/eprint/81691

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