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Original Articles

Sally modules and associated graded rings

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Pages 2689-2708 | Received 01 Jun 1997, Published online: 05 Jul 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Claudia Polini & Yu Xie. (2014) Generalized Hilbert Functions. Communications in Algebra 42:6, pages 2411-2427.
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Alberto Corso. (2009) Sally Modules of 𝔪-Primary Ideals in Local Rings. Communications in Algebra 37:12, pages 4503-4515.
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Hsin-Ju Wang. (2002) ON THE ASSOCIATED GRADED RINGS OF IDEALS OF COHEN-MACAULAY RINGS. Communications in Algebra 30:4, pages 1653-1668.
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Articles from other publishers (11)

Kazuho OZEKI. (2022) The reduction number of stretched ideals. Journal of the Mathematical Society of Japan 74:4.
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Amir Mafi. (2018) On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length. Journal of Commutative Algebra 10:4.
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L. GHEZZI, S. GOTO, J. HONG & W. V. VASCONCELOS. (2016) SALLY MODULES AND REDUCTION NUMBERS OF IDEALS. Nagoya Mathematical Journal 226, pages 106-126.
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Guangjun Zhu. (2013) The Joint Reduction Number and Upper Bounds of Hilbert Series of Fiber Cones. Algebra Colloquium 20:04, pages 653-662.
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Claudia Polini & Yu Xie. (2013) j -Multiplicity and depth of associated graded modules. Journal of Algebra 379, pages 31-49.
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Shiro Goto, Koji Nishida & Kazuho Ozeki. (2008) Sally modules of rank one. Michigan Mathematical Journal 57:none.
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Alberto Corso, Claudia Polini & Maria Evelina Rossi. (2005) Depth of associated graded rings via Hilbert coefficients of ideals. Journal of Pure and Applied Algebra 201:1-3, pages 126-141.
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Maria Evelina Rossi & Giuseppe Valla. (2005) The Hilbert function of the Ratliff–Rush filtration. Journal of Pure and Applied Algebra 201:1-3, pages 25-41.
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Hsin-Ju Wang. (2001) On the Associated Graded Rings of Ideals of Reduction Number 2. Journal of Algebra 236:1, pages 192-215.
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M. Rossi. (1999) A bound on the reduction number of a primary ideal. Proceedings of the American Mathematical Society 128:5, pages 1325-1332.
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Anna Guerrieri & Maria Evelina Rossi. (1999) Estimates on the Depth of the Associated Graded Ring. Journal of Algebra 211:2, pages 457-471.
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