Quasi-socle ideals and Goto numbers of parameters

DOI10.1016/J.JPAA.2009.06.011zbMath1208.13009OpenAlexW2071258938MaRDI QIDQ847136

Tran Thi Phuong, Shiro Goto, Hoang Le Truong, Satoru Kimura

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.06.011

zbMATH Keywords

Goto numbersquasi-socle ideals

Mathematics Subject Classification ID

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

Related Items (5)

Integral Closure ⋮ Stability of quasi-socle ideals ⋮ A variant of Wang's theorem ⋮ Wang's theorem for one-dimensional local rings ⋮ Quasi-socle ideals in Buchsbaum rings

Cites Work

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• The equality \(I^2=QI\) in Buchsbaum rings
• The Goto numbers of parameter ideals
• When is the rees algebra cohen—macaulay?
• On the Gorensteinness of Rees algebras over local rings
• Form rings and regular sequences
• Cohen-Macaulayness of Special Fiber Rings
• Finite homological dimension and primes associated to integrally closed ideals

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