Direct summand conjecture and descent for flatness

DOI10.1090/S0002-9939-96-03270-4zbMath0895.13005WikidataQ123291986 ScholiaQ123291986MaRDI QIDQ4890261

Takeo Ohi

Publication date: 8 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

flatnessdirect summand conjectureintegral extension ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (8)

The direct summand conjecture for some bigenerated extensions and an asymptotic version of Koh's conjecture ⋮ The direct factor conjecture ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ The monomial conjecture and order ideals ⋮ Derived splinters in positive characteristic ⋮ Towards a homological generalization of the direct summand theorem ⋮ The monomial conjecture and order ideals. II

Cites Work

• Canonical elements in local cohomology modules and the direct summand conjecture
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Unnamed Item

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