[图书][B] Integral closure: Rees algebras, multiplicities, algorithms
WV Vasconcelos - 2005 - Springer
Integral Closure gives an account of theoretical and algorithmic developments on the
integral closure of algebraic structures. These are shared concerns in commutative algebra …
integral closure of algebraic structures. These are shared concerns in commutative algebra …
[图书][B] Hilbert functions of filtered modules
ME Rossi, G Valla - 2010 - books.google.com
Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are
becoming increasingly important also in Computational Algebra. They capture many useful …
becoming increasingly important also in Computational Algebra. They capture many useful …
The Chern coefficients of local rings
W Vasconcelos - Michigan Mathematical Journal, 2008 - projecteuclid.org
Let (R, m) be a Noetherian local ring of dimension d> 0, and let I be an mprimary ideal. One
of our goals is to study the set of I-good filtrations of R. More concretely, we will consider the …
of our goals is to study the set of I-good filtrations of R. More concretely, we will consider the …
Notes on the behavior of the Ratliff-Rush filtration
ME Rossi, I Swanson - arXiv preprint math/0209308, 2002 - arxiv.org
We establish new classes of Ratliff-Rush closed ideals and some pathological behavior of
the Ratliff-Rush closure. In particular, Ratliff-Rush closure does not behave well under …
the Ratliff-Rush closure. In particular, Ratliff-Rush closure does not behave well under …
Hilbert functions of Cohen–Macaulay local rings
ME Rossi - Commutative Algebra and Its Connections to …, 2011 - books.google.com
Hilbert functions of Cohen–Macaulay local rings Page 190 Contemporary Mathematics Volume
555 , 2011 Hilbert Functions of Cohen-Macaulay local rings Maria Evelina Rossi Abstract. This …
555 , 2011 Hilbert Functions of Cohen-Macaulay local rings Maria Evelina Rossi Abstract. This …
Coefficient modules and Ratliff-Rush closures*
VHJ Pérez, MD Ferrari - Communications in Algebra, 2023 - Taylor & Francis
Let (R, m) be ad-dimensional Noetherian local ring, M be an R-submodule of the free
module F= R p. In this work, in analogy to the papers of Liu in and of Ratliff and Rush in, if …
module F= R p. In this work, in analogy to the papers of Liu in and of Ratliff and Rush in, if …
[HTML][HTML] Ratliff–Rush filtration, regularity and depth of higher associated graded modules. Part II
TJ Puthenpurakal - Journal of Pure and Applied Algebra, 2017 - Elsevier
Let (A, m) be a Noetherian local ring, let M be a finitely generated Cohen–Macaulay A-
module of dimension r≥ 2 and let I be an ideal of definition for M. Set LI (M)=⨁ n≥ 0 M/I n+ …
module of dimension r≥ 2 and let I be an ideal of definition for M. Set LI (M)=⨁ n≥ 0 M/I n+ …
Bounding the first Hilbert coefficient
K Hanumanthu, C Huneke - Proceedings of the American Mathematical …, 2012 - ams.org
This paper gives new bounds on the first Hilbert coefficient of an ideal of finite colength in a
Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the ideal. We …
Cohen-Macaulay local ring. The bound given is quadratic in the multiplicity of the ideal. We …
Upper bounds of Hilbert coefficients and Hilbert functions
J Elias - … Proceedings of the Cambridge Philosophical Society, 2008 - cambridge.org
Let (R, m) be a d-dimensional Cohen–Macaulay local ring. In this paper we prove, in a very
elementary way, an upper bound of the first normalized Hilbert coefficient of a m-primary …
elementary way, an upper bound of the first normalized Hilbert coefficient of a m-primary …
Ratliff–Rush filtrations associated with ideals and modules over a Noetherian ring
TJ Puthenpurakal, F Zulfeqarr - Journal of Algebra, 2007 - Elsevier
Let R be a commutative Noetherian ring, M a finitely generated R-module and I a proper
ideal of R. In this paper we introduce and analyze some properties of r (I, M)=⋃ k⩾ 1 (Ik+ 1M …
ideal of R. In this paper we introduce and analyze some properties of r (I, M)=⋃ k⩾ 1 (Ik+ 1M …