Splitting results in module-finite extension rings and Koh's conjecture

DOI10.1016/S0021-8693(05)80011-0zbMath0852.13002OpenAlexW2074202012WikidataQ123096660 ScholiaQ123096660MaRDI QIDQ1891498

Juan Diego Vélez

Publication date: 12 December 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80011-0

zbMATH Keywords

direct summand conjecture

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Extension theory of commutative rings (13B02)

Related Items (6)

The direct summand conjecture for some bigenerated extensions and an asymptotic version of Koh's conjecture ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ Local cohomology properties of direct summands ⋮ The monomial conjecture and order ideals ⋮ Towards a homological generalization of the direct summand theorem ⋮ The monomial conjecture and order ideals. II

Cites Work

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• The syzygy problem
• Canonical elements in local cohomology modules and the direct summand conjecture
• What makes a complex exact?
• Contracted ideals from integral extensions of regular rings

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