Local cohomology annihilators and Macaulayfication

DOI10.1007/s40306-016-0185-9zbMath1365.13038arXiv1305.5609OpenAlexW2124828129MaRDI QIDQ514056

Nguyen Tu Cuong, Trung Cuòng Đoàn

Publication date: 8 March 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5609

zbMATH Keywords

arithmetic Macaulayficationlocal cohomology annihilatorMacaulayficationp-standard system of parametersquotient of Cohen-Macaulay ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Local cohomology and commutative rings (13D45)

Related Items (15)

On the limit closure of a sequence of elements in local rings ⋮ Reducibility of parameter ideals in low powers of the maximal ideal ⋮ On almost p-standard system of parameters of idealization and applications ⋮ When does a perturbation of the equations preserve the normal cone? ⋮ On the uniform bound of reducibility index of parameter ideals of idealizations ⋮ On the sectional genera and Cohen-Macaulay rings ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ Regular rings and perfect(oid) algebras ⋮ Hilbert coefficients and partial Euler-Poincaré characteristics of Koszul complexes of d-sequences ⋮ On the sequential polynomial type of modules ⋮ On the index of reducibility of parameter ideals: the stable and limit values ⋮ On the length function of saturations of ideal powers ⋮ Local rings with zero-dimensional formal fibers ⋮ Attached primes of local cohomology modules under localization and completion ⋮ ON A FAMILY OF COHOMOLOGICAL DEGREES

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