Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters

DOI10.1215/00277630-2010-004zbMath1210.13021OpenAlexW1588137681MaRDI QIDQ3055488

Kazuho Ozeki, Shiro Goto

Publication date: 8 November 2010

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00277630-2010-004

zbMATH Keywords

local ringsHilbert coefficientsBuchsbaum rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (5)

The homology of parameter ideals ⋮ Variation of the first Hilbert coefficients of parameters with a common integral closure ⋮ The first Euler characteristics versus the homological degrees ⋮ Variation of Hilbert coefficients ⋮ The Chern numbers and Euler characteristics of modules

Cites Work

• Unnamed Item
• The Chern coefficients of local rings
• The signature of the Chern coefficients of local rings
• On Buchsbaum rings
• The theory of d-sequences and powers of ideals
• Hilbert coefficients and Buchsbaumness of associated graded rings.
• Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
• On the Chern number of an ideal
• Multiplizitäten in verallgemeinerten COHEN-MACAULAY-Moduln
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Toward a theory of generalized Cohen-Macaulay modules

This page was built for publication: Buchsbaumness in local rings possessing constant first Hilbert coefficients of parameters