Direct summand conjecture
and descent for flatness
Author:
Takeo Ohi
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1967-1968
MSC (1991):
Primary 13B99
DOI:
https://doi.org/10.1090/S0002-9939-96-03270-4
MathSciNet review:
1317044
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove the equivalence of the direct summand conjecture and descent of flatness for integral extensions.
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- 2. ------, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra 84 (1983), 503--553. MR 85j:13021
- 3.
M. Raynaud and L. Gruson, Critères de platitude et de projectivité techniques fe
platification
d'un module, Inventions Math. 13 (1971), 1--89. MR 46:7219
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Additional Information
Takeo Ohi
Affiliation:
Department of Mathematics, Science University of Tokyo, Shinjuku-ku, Tokyo 162, Japan
DOI:
https://doi.org/10.1090/S0002-9939-96-03270-4
Received by editor(s):
August 18, 1994
Received by editor(s) in revised form:
December 21, 1994
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 1996
American Mathematical Society
