Classifying subcategories of modules
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- by Mark Hovey PDF
- Trans. Amer. Math. Soc. 353 (2001), 3181-3191 Request permission
Erratum: Trans. Amer. Math. Soc. 360 (2008), 2809-2809.
Abstract:
Let $R$ be the quotient of a regular coherent commutative ring by a finitely generated ideal. In this paper, we classify all abelian subcategories of finitely presented $R$-modules that are closed under extensions. We also classify abelian subcategories of arbitrary $R$-modules that are closed under extensions and coproducts, when $R$ is commutative and Noetherian. The method relies on comparison with the derived category of $R$.References
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Additional Information
- Mark Hovey
- Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
- Email: hovey@member.ams.org
- Received by editor(s): January 15, 2000
- Received by editor(s) in revised form: June 19, 2000
- Published electronically: April 12, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 3181-3191
- MSC (2000): Primary 13C05, 18E30, 18G35
- DOI: https://doi.org/10.1090/S0002-9947-01-02747-7
- MathSciNet review: 1828603