On the lengths of Koszul homology modules and generalized fractions

DOI10.1017/S0305004100074648zbMath0856.13012OpenAlexW1997066461MaRDI QIDQ4885206

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Publication date: 24 February 1997

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

Full work available at URL: https://doi.org/10.1017/s0305004100074648

zbMATH Keywords

dimensionlocal cohomology modulessystem of parameterspolynomial typeNoetherian local ringhigher Euler-Poincaré characteristicslength of the Koszul homology

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

On the partial Euler-Poincaré characteristics of certain systems of parameters in local rings ⋮ dd-SEQUENCES AND PARTIAL EULER–POINCARÉ CHARACTERISTICS OF KOSZUL COMPLEX ⋮ On the length of generalized fractions. ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ Hilbert coefficients and partial Euler-Poincaré characteristics of Koszul complexes of d-sequences

Cites Work

• Generalized fractions and the monomial conjecture
• Codimension and multiplicity
• Lengths of certain generalized fractions
• On Polynomial Bounds for the Koszul Homology of Certain Multiplicity Systems
• On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings
• Verallgemeinerte COHEN-MACAULAY-Moduln
• On the length of the powers of systems of parameters in local ring
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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