A Note on Abelian Categories of Cofinite Modules
Let R be a commutative Noetherian ring and I be an ideal of R. In this article, we answer affirmatively a question raised by the present author. Also, as a consequence, it is shown that the category of all I-cofinite R-modules is an Abelian subcategory of the category of all R-modules, whenever Thes...
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Published in | Communications in algebra Vol. 48; no. 1; pp. 254 - 262 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
02.01.2020
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | Let R be a commutative Noetherian ring and I be an ideal of R. In this article, we answer affirmatively a question raised by the present author. Also, as a consequence, it is shown that the category of all I-cofinite R-modules
is an Abelian subcategory of the category of all R-modules, whenever
These assertions also answer affirmatively a question raised by R. Hartshorne, in some special cases. |
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ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927872.2019.1640238 |