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Direct summand conjecture and descent for flatness

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

References:

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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