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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quasi-isomorphisms of Koszul complexes
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by José J. M. Soto PDF
Proc. Amer. Math. Soc. 128 (2000), 713-715 Request permission

Abstract:

Let $f:A\to B$ be a surjective homomorphism of noetherian local commutative rings that induces an isomorphism between the first Koszul homology modules and an epimorphism between the second Koszul homology modules. Then $f$ induces isomorphisms between Koszul homology modules in all dimensions.
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Additional Information
  • José J. M. Soto
  • Affiliation: Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, E-15771 Santiago de Compostela, Spain
  • Received by editor(s): February 10, 1997
  • Received by editor(s) in revised form: May 5, 1998
  • Published electronically: March 3, 1999
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 713-715
  • MSC (1991): Primary 13H10, 13D03
  • DOI: https://doi.org/10.1090/S0002-9939-99-05071-6
  • MathSciNet review: 1626482