Normal Sally modules of rank one

DOI10.1016/J.JALGEBRA.2017.09.028zbMath1386.13016arXiv1506.05210OpenAlexW2963137549MaRDI QIDQ1675075

Tran Thi Phuong

Publication date: 26 October 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05210

zbMATH Keywords

Hilbert functionsHilbert coefficientsRees algebrasassociated graded ringsnormal filtrationSally modules

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

On the structure of the Sally module and the second normal Hilbert coefficient ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ A filtration of the Sally module and the first normal Hilbert coefficient

Cites Work

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• Hilbert functions and symbolic powers
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• Integral closures of ideals generated by regular sequences
• On graded rings. I
• The theory of d-sequences and powers of ideals
• Bounds on the normal Hilbert coefficients
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Absolutely superficial sequences
• Normal Hilbert Polynomials : A survey
• Toward a theory of generalized Cohen-Macaulay modules

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