Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal (original) (raw)

Depth of associated graded rings via Hilbert coefficients of ideals

Alberto Corso

Journal of Pure and Applied Algebra, 2005

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On the first generalized Hilbert coefficient and depth of associated graded rings

Amir Mafi

arXiv: Commutative Algebra, 2017

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On Hilbert coefficients and sequentially Cohen-Macaulay rings

Yen Hoang

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On the depth of the associated graded ring

Anna Guerrieri

Proceedings of the American Mathematical Society, 1995

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On the Hilbert coefficients, depth of associated graded rings and reduction numbers

Amir Mafi

2017

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Hilbert coefficients and Buchsbaumness of associated graded rings

Shiro Goto

Journal of Pure and Applied Algebra, 2003

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On the second Hilbert coefficients and Cohen-Macaulay rings

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On the Vanishing of the normal Hilbert coefficients of ideals

Jugal Verma

arXiv (Cornell University), 2019

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Results on Hilbert coefficients of a Cohen-Macaulay module

Amir Mafi

Journal of Algebra and Related Topics, 2016

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Hilbert coefficients and sequentially Cohen–Macaulay modules

Hoàng Trường

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Cohen-Macaulay graded rings associated to ideals

Shiro Goto

American Journal of Mathematics, 1996

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Estimates on the Depth of the Associated Graded Ring

Anna Guerrieri

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The depth of the associated graded ring of ideals with any reduction number

huy sang ha

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Gorenstein graded rings associated to ideals

Shiro Goto

Journal of Algebra, 2005

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On Graded Local Cohomology Modules Defined by a Pair of Ideals

Ghader Habibi

arXiv: Commutative Algebra, 2015

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A Note on Cohomological Dimension Over Cohen-Macaulay Rings

Kamal Bahmanpour

2020

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On the length formula of Hoskin and Deligne and associated graded rings of two-dimensional regular local rings

Jugal Verma

Mathematical Proceedings of The Cambridge Philosophical Society, 1992

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On the dual of Hilbert coefficients and width of the associated graded modules over Artinian modules

Amir Mafi

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On graded rings, I

Shiro Goto

Journal of the Mathematical Society of Japan, 1978

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The homology of parameter ideals

Wolmer Vasconcelos

Journal of Algebra, 2012

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Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

Shiro Goto

Journal of the London Mathematical Society, 2010

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The Gorenstein and complete intersection properties of associated graded rings

William Heinzer

Journal of Pure and Applied Algebra, 2005

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The equality in sequentially Cohen–Macaulay rings

Hoàng Trường

Journal of Algebra, 2013

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Embeddings of Certain Graded Rings into Their Canonical Modules

Shiro Goto

Journal of Algebra, 2000

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A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

C. Huneke

Proceedings of the American Mathematical Society, 2015

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Ratliff–Rush filtration, regularity and depth of higher associated graded modules: Part I

AnDy XZ

Journal of Pure and Applied Algebra, 2007

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Normal Hilbert Functions of One-Dimensional Local Rings

Valentina Barucci

Communications in Algebra, 2001

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Two Notes on Normal Hilbert Polynomial of Two Ideals

Jugal Verma

Proceedings of the Indian National Science Academy, 2014

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On the Cohen Macaulayness of the Conormal Module of an Ideal

Shahbaz Anwar

arXiv: Commutative Algebra, 2011

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Hilbert coefficients and depths of form rings

Jugal Verma

Arxiv preprint math/0206221, 2002

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