Quasi-socle ideals in local rings with Gorenstein tangent cones
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Publication:847983
DOI10.1216/JCA-2009-1-4-603zbMath1200.13038arXiv0710.1387OpenAlexW2048362776MaRDI QIDQ847983
Tran Thi Phuo, Satoru Kimura, Shiro Goto, Naoyuki Matsuoka
Publication date: 19 February 2010
Published in: Journal of Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.1387
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
Related Items (4)
Quasi-socle ideals and Goto numbers of parameters ⋮ Stability of quasi-socle ideals ⋮ Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings ⋮ Quasi-socle ideals in Buchsbaum rings
Cites Work
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- Adjoints of ideals
- Links of symbolic powers of prime ideals
- The Dilworth number of Artin Gorenstein rings
- Quasi-socle ideals in Gorenstein numerical semigroup rings
- On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal
- On graded rings. I
- Reduction number of links of irreducible varieties
- Linkage and reduction numbers
- The reduction exponent of socle ideals associated to parameter ideals in a Buchsbaum local ring of multiplicity two
- Cohen-Macaulayness in graded algebras
- Links of prime ideals and their Rees algebras
- Quasi-socle ideals in a Gorenstein local ring
- The equality \(I^2=QI\) in Buchsbaum rings
- 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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