Banerjee, Abhishek (2019) On Differential Torsion Theories and Rings with Several Objects. In: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 62 (4). pp. 703-714.
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Official URL: https://dx.doi.org/10.4153/S0008439518000656
Abstract
Let R be a small preadditive category, viewed as a ``ring with several objects.'' A right R-module is an additive functor from R-op to the category Ab of abelian groups. We show that every hereditary torsion theory on the category (R-op, Ab) of right R-modules must be dioerential.
| Item Type: | Journal Article |
|---|---|
| Publication: | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES |
| Publisher: | CAMBRIDGE UNIV PRESS |
| Additional Information: | Copyright of this article belongs to Cambridge University Press. |
| Keywords: | hereditary torsion theory; dioerential torsion theory; ring with several objects |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 09 Mar 2020 06:31 |
| Last Modified: | 09 Mar 2020 06:31 |
| URI: | http://eprints.iisc.ac.in/id/eprint/63997 |
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