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
Abstract
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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