Cohen-Macaulay approximation and multiplicity

DOI10.1016/0021-8693(92)90156-GzbMath0793.13009MaRDI QIDQ1204460

Songqing Ding

Publication date: 10 March 1993

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

zbMATH Keywords

indexsyzygydelta-invariantCohen-Macaulay approximationhypersurface ringGorenstein local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Cohen-Macaulay modules (13C14)

Related Items

A study of strongly Cohen-Macaulay ideals by delta invariant, Modules with null delta invariants, The theory of \(L\)-complexes and weak liftings of complexes, Some remarks on index and generalized Loewy length of a Gorenstein local ring, New homological invariants for modules over local rings. I, Vanishing of free summands in cohen-macaulay approximations, The index of a numerical semigroup ring, On indices of local rings along local homomorphisms, Cohen-Macaulay approximation in fibred categories, Deformation theory of Cohen-Macaulay approximation, On the interplay between the Frobenius functor and its dual, New invariants of Noetherian local rings, The Associated Graded Ring and the Index of a Gorenstein Local Ring, On the higher delta invariants of a Gorenstein local ring, Hilbert-Samuel functions of modules over Cohen-Macaulay rings, Complete Cohomologies and Some Homological Invariants

Cites Work

• Modules of finite virtual projective dimension
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• The Poincaré series of a local ring
• The homological theory of maximal Cohen-Macaulay approximations