Asymptotic Property of the 𝕀-Invariant of the Associated Graded Modules

DOI10.1081/AGB-120017357zbMath1087.13503MaRDI QIDQ4801410

Kikumichi Yamagishi

Publication date: 7 April 2003

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

zbMATH Keywords

length\(\mathbb{I}\)-invariant

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

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

Cites Work

• On the associated graded rings of parameter ideals in Buchsbaum rings
• Noetherian local rings with Buchsbaum associated graded rings
• Certain graded algebras are always Cohen-Macaulay
• On graded rings. I
• On the Buchsbaum property of associated graded rings
• Buchsbaumness in Rees algebras associated to ideals of minimal multiplicity
• On the Buchsbaum associated graded modules with respect to \(\mathfrak m\)-primary ideals whose reduction numbers are at most one
• The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case
• Graded algebras of powers of ideals generated by A-sequences

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