Gorenstein rings and irreducible parameter ideals

DOI10.1090/S0002-9939-07-08958-7zbMath1127.13015arXivmath/0608661MaRDI QIDQ5429422

Hideto Sakurai, Mark W. Rogers, Thomas Marley

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608661

zbMATH Keywords

Gorenstein ringsystem of parametersirreducible ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45)

Related Items (7)

A study of quasi-Gorenstein rings ⋮ Reducibility of parameter ideals in low powers of the maximal ideal ⋮ Index of reducibility of parameter ideals and Cohen-Macaulay rings ⋮ On endomorphism rings of local cohomology modules ⋮ What is a system of parameters? ⋮ A Characterization of Gorenstein Rings and Grothendieck's Conjecture ⋮ On the index of reducibility in Noetherian modules

Cites Work

• Approximately Cohen-Macaulay rings
• The index of reducibility of parameter ideals in low dimension
• The equality \(I^2=QI\) in Buchsbaum rings
• Algebraic De Rham cohomology
• PRINCIPAL SYSTEMS
• The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomologies
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
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