dd-SEQUENCES AND PARTIAL EULER–POINCARÉ CHARACTERISTICS OF KOSZUL COMPLEX

DOI10.1142/S0219498807002119zbMath1183.13027OpenAlexW2964159957MaRDI QIDQ3442742

Nguyen Tu Cuong, Trung Cuòng Đoàn

Publication date: 23 May 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002119

zbMATH Keywords

Koszul complexlocal cohomologyEulersequentially Cohen-Macaulaydd-sequence\(p\)-standard system of parametersPoincaré characteristic

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Local cohomology and commutative rings (13D45) Homological methods in commutative ring theory (13D99)

Related Items (11)

Reducibility of parameter ideals in low powers of the maximal ideal ⋮ On almost p-standard system of parameters of idealization and applications ⋮ On the uniform bound of reducibility index of parameter ideals of idealizations ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ Hilbert coefficients and sequentially Cohen-Macaulay modules ⋮ Hilbert coefficients and partial Euler-Poincaré characteristics of Koszul complexes of d-sequences ⋮ On the structure of sequentially generalized Cohen-Macaulay modules ⋮ On the index of reducibility of parameter ideals: the stable and limit values ⋮ Local cohomology annihilators and Macaulayfication ⋮ On the length function of saturations of ideal powers ⋮ ON A FAMILY OF COHOMOLOGICAL DEGREES

Cites Work

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• On arithmetic Macaulayfication of Noetherian rings
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• On the Koszul homology modules for the powers of a multiplicity system
• On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings
• On the lengths of Koszul homology modules and generalized fractions
• On Macaulayfication of Noetherian schemes
• On the length of the powers of systems of parameters in local ring

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