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.References
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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