Bass number characterization of surjective Buchsbaum modules

DOI10.1017/S0305004100070341zbMath0760.13010MaRDI QIDQ3982355

Kikumichi Yamagishi

Publication date: 26 June 1992

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

zbMATH Keywords

local cohomologyBass numberssurjective Buchsbaum module

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)

Related Items

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Surjective-Buchsbaum modules over Cohen-Macaulay local rings ⋮ Tensor products of perfect modules and maximal surjective Buchsbaum modules ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ A note on minimal cohen-macaulay approximations ⋮ A note on multiplicity of perfect modules of codimension one ⋮ A generalization of linear buchsbaum modules in terms of homological degree ⋮ Liaison classes of modules ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence

Cites Work

• On Buchsbaum rings
• Buchsbaum rings of maximal embedding dimension
• Approximation complexes of blowing-up rings
• Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
• Ideals generated by \(R\)-sequences
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On the ubiquity of Gorenstein rings
• On the Surjectivity Criterion for Buchsbaum Modules
• Toward a Theory of Buchsbaum Singularities
• Über die kohomologische Charakterisierung von BUCHSBAUM‐Moduln