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

DOI10.2298/FIL1911277CzbMath1499.13021MaRDI QIDQ5863883

Amir Mafi, Fatemeh Cheraghi

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Artinian modulesHilbert-Samuel polynomialassociated graded modulesHilbert-coefficients

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

• Unnamed Item
• Matlis duality and the width of a module
• Modules With Descending Chain Condition
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• On certain graded artinian modules
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• A note on reductions of ideals relative to an Artinian module
• Sally modules and associated graded rings
• Co-cohen-macaulayness of certain graded artinian modules
• Co-cohen-macaulay modules and modules of generalized fractions
• Co-Cohen-Macaulay Artinian modules over commutative rings
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Reduction of Ideals Relative to an Artinian Module and the Dual of Burch’s Inequality
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• DIMENSION AND LENGTH FOR ARTINIAN MODULES
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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