Cohen-Macaulayness and negativity of \(A\)-invariants in Rees algebras associated to \(\mathfrak m\)-primary ideals of minimal multiplicity

DOI10.1016/S0022-4049(99)00137-1zbMath0979.13021OpenAlexW2037578342MaRDI QIDQ1582736

Shiro Goto

Publication date: 19 February 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00137-1

zbMATH Keywords

Rees algebraCohen-MacaulaynessCohen-Macaulay typeGorensteinnessideal with minimal multiplicity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items

On the depth of fiber cones of stretched \(\mathfrak m\)-primary ideals ⋮ On the Vasconcelos inequality for the fiber multiplicity of modules ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ On the Homology and Fiber Cone of Ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals
• On the Cohen-Macaulayness of the fiber cone of an ideal
• On the type of graded Cohen-Macaulay rings
• Certain graded algebras are always Cohen-Macaulay
• On the associated graded ring of a local Cohen-Macaulay ring
• On graded rings. I
• Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity
• On Macaulayfication obtained by a blow-up whose center is an equi-multiple ideal. (With an appendix by Kikumichi Yamagishi)
• Links of prime ideals and their Rees algebras
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Form rings and regular sequences
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Depth formulas for certain graded rings associated to an ideal
• The Cohen-Macaulay symbolic Rees algebras for curve singularities
• Links of prime ideals
• Contracted ideals from integral extensions of regular rings

This page was built for publication: Cohen-Macaulayness and negativity of \(A\)-invariants in Rees algebras associated to \(\mathfrak m\)-primary ideals of minimal multiplicity