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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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.


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 $R$.
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Additional Information
  • Mark Hovey
  • Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
  • Email:
  • 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:
  • MathSciNet review: 1828603