Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

DOI10.1016/J.JALGEBRA.2024.06.003zbMATH Open1548.13012MaRDI QIDQ6597492

Samarendra Sahoo, Tony J. Puthenpurakal

Publication date: 3 September 2024

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

zbMATH Keywords

Gorenstein ringsstrict complete intersectionsassociated graded rings and modulesgraded resolutions

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14)

Cites Work

• Title not available (Why is that?)
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• Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I
• Modules of finite virtual projective dimension
• Hilbert coefficients of a Cohen-Macaulay module.
• The Hilbert function of a maximal Cohen-Macaulay module. II.
• Homology of perfect complexes
• On associated graded modules having a pure resolution
• Multiplicity andt-isomultiple ideals
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.

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