Finite super height of a homogeneous ideal in \({\mathbb{Z}}^ n\)-graded extensions

DOI10.1016/0021-8693(87)90143-8zbMath0624.13009OpenAlexW2094311154MaRDI QIDQ1092121

Jee Heub Koh

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90143-8

zbMATH Keywords

Zariski's main theoremdirect summand conjecturebig heightfinite super heigthimproved monomial conjecture

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (4)

Super height of an ideal in a Noetherian ring ⋮ Content of local cohomology, parameter ideals, and robust algebras ⋮ On superheight conditions for the affineness of open subsets. ⋮ Some restrictions on the maps in minimal resolutions

Cites Work

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• Die Approximationseigenschaften lokaler Ringe
• Canonical elements in local cohomology modules and the direct summand conjecture
• Algebraic approximation of structures over complete local rings
• Generic local structure of the morphisms in commutative algebra
• Contracted ideals from integral extensions of regular rings

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