Buchsbaumness of certain generalization of the associated graded modules in the equi-\(\mathbb I\)-invariant case

DOI10.1016/j.jalgebra.2009.08.002zbMath1185.13009OpenAlexW2065542593MaRDI QIDQ1048219

Kikumichi Yamagishi

Publication date: 11 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.08.002

zbMATH Keywords

Buchsbaum moduleassociated graded module\(\mathbb I\)-invariant

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Buchsbaumness of the associated graded rings of filtration ⋮ Almost Buchsbaumness of some rings arising from complexes with isolated singularities

Cites Work

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• Five theorems on Macaulay rings
• Idealizations of maximal Buchsbaum modules over a Buchsbaum ring
• Standard systems of parameters and their blowing-up rings.
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Asymptotic Property of the 𝕀-Invariant of the Associated Graded Modules
• Toward a theory of generalized Cohen-Macaulay modules

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