Surjective-Buchsbaum modules over Cohen-Macaulay local rings

DOI10.1007/BF02571897zbMath0814.13017MaRDI QIDQ1346343

Takesi Kawasaki

Publication date: 12 June 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174722

zbMATH Keywords

injective dimensionCohen-Macaulay local ringssurjective Buchsbaum modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14)

Related Items

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Cohen-Macaulayness of tensor products ⋮ Tensor products of perfect modules and maximal surjective Buchsbaum modules ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ On linear maximal buchsbaum modules and the syzygy modules ⋮ A note on minimal cohen-macaulay approximations ⋮ A generalization of linear buchsbaum modules in terms of homological degree ⋮ Maximal Buchsbaum modules over Gorenstein local rings ⋮ Linkage of modules and the Serre conditions ⋮ On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence

Cites Work

• Maximal Buchsbaum modules of finite projective dimension
• Injective modules over Noetherian rings
• Graded Buchsbaum algebras and Segre products
• Rings with only finitely many isomorphism classes of indecomposable maximal Buchsbaum modules
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• What makes a complex exact?
• On the ubiquity of Gorenstein rings
• Homological Dimension in Local Rings
• Toward a Theory of Buchsbaum Singularities
• Bass number characterization of surjective Buchsbaum modules
• Dualizing complexes for commutative Noetherian rings
• Verallgemeinerte COHEN-MACAULAY-Moduln
• FUNDAMENTAL DUALIZING COMPLEXES FOR COMMUTATIVE NOETHERIAN RINGS
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