Invariance of a Length Associated to a Reduction

DOI10.1081/AGB-200063344zbMath1093.13021arXivmath/0409058MaRDI QIDQ5466672

Tony Joseph Puthenpurakal

Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409058

zbMATH Keywords

Cohen-Macaulay local ringassociated graded ringlengthminimal reduction

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Related Items

3-standardness of the maximal ideal ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length

Cites Work

• On form rings which are Cohen-Macaulay
• Reduction numbers for ideals of higher analytic spread
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients