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Proceedings of the American Mathematical Society

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



Direct summand conjecture
and descent for flatness

Author: Takeo Ohi
Journal: Proc. Amer. Math. Soc. 124 (1996), 1967-1968
MSC (1991): Primary 13B99
MathSciNet review: 1317044
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Abstract: We prove the equivalence of the direct summand conjecture and descent of flatness for integral extensions.

References [Enhancements On Off] (What's this?)

  • 1. M. Hochster, Topics in the homological theory of modules over commutative rings, CBMS Regional Conference Series in Mathematics, number 24, Amer. Math. Soc., Providence, RI, 1975. MR 51:8096
  • 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 $\langle \!\langle $platification$\rangle \!\rangle $ 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

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