On the depth of the associated graded ring of a filtration

DOI10.1016/j.jalgebra.2004.10.026zbMath1112.13007OpenAlexW2077326059MaRDI QIDQ1770471

Kohji Nishida

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.026

zbMATH Keywords

filtrationassociated graded ringdepthRees algebra

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (2)

Unnamed Item ⋮ On Burch’s inequality and a reduction system of a filtration

Cites Work

• Unnamed Item
• Unnamed Item
• On the Cohen-Macaulayness of multi-Rees algebras and Rees algebras of powers of ideals
• On the depth of the associated graded ring of an ideal.
• When is the Rees algebra Gorenstein?
• ON FILTRATIONS HAVING SMALL ANALYTIC DEVIATION
• On Burch’s inequality and a reduction system of a filtration
• Self-linked curve singularities
• Form rings and regular sequences
• Depth formulas for certain graded rings associated to an ideal
• The Cohen-Macaulay symbolic Rees algebras for curve singularities
• Topics on symbolic Rees algebras for space monomial curves
• Cohen-Macaulay graded rings associated to ideals

This page was built for publication: On the depth of the associated graded ring of a filtration