Idealizations of maximal Buchsbaum modules over a Buchsbaum ring

DOI10.1017/S0305004100065658zbMath0669.13004MaRDI QIDQ3822296

Kikumichi Yamagishi

Publication date: 1988

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

trivial extensionBuchsbaum ringidealizations of canonical modules

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Extension theory of commutative rings (13B02) Homological methods in commutative ring theory (13D99)

Related Items

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Idealization of a module ⋮ On Macaulayfication obtained by a blow-up whose center is an equi-multiple ideal. (With an appendix by Kikumichi Yamagishi) ⋮ Buchsbaum homogeneous algebras with minimal multiplicity ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ The associated graded modules of Buchsbaum modules with respect to \({\mathfrak m}\)-primary ideals in the equi-\(\mathbb{I}\)-invariant case ⋮ PSEUDO BUCHSBAUMNESS FOR IDEALIZATIONS OF NOETHERIAN MODULES OVER LOCAL RINGS ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ On the Buchsbaum property of associated graded rings ⋮ On the Buchsbaum associated graded modules with respect to \(\mathfrak m\)-primary ideals whose reduction numbers are at most one ⋮ Buchsbaumness of certain generalization of the associated graded modules in the equi-\(\mathbb I\)-invariant case ⋮ Hilbert-Kunz multiplicity and an inequality between multiplicity and colength

Cites Work

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• A Note on Quasi-Buchsbaum Rings
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