Class rank of differential modules

DOI10.1007/s00222-007-0041-6zbMath1153.13010arXivmath/0602344OpenAlexW3104788913MaRDI QIDQ948618

Ragnar-Olaf Buchweitz, Luchezar L. Avramov, Srikanth B. Iyengar

Publication date: 17 October 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602344

zbMATH Keywords

class inequalityfinitely generated modules over a commutative noetherian ringhomological algebra of differential modulesprojective class of differential modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Minimal free resolutions of differential modules, Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra, Approximable triangulated categories, Lower Bounds on Betti Numbers, Gorenstein projective modules and Frobenius extensions, Ghost length, cone length and complete level of DG modules., Differential modules over quadratic monomial algebras, Dimensions of triangulated categories via Koszul objects, Some dimensions of DG polynomial algebras, Positivity and nonstandard graded Betti numbers, Free \((\mathbb{Z} / p)^n\)-complexes and \(p\)-DG modules, Differential projective modules over algebras with radical square zero, Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices, Gorenstein theory for \(n\)-th differential modules, Homology of perfect complexes, Higher differential objects in additive categories, Cone Length for DG Modules and Global Dimension of DG Algebras, Gorenstein homological theory for differential modules, A partial converse ghost lemma for the derived category of a commutative Noetherian ring

Cites Work

• On the homology of finite free \((Z/2)^ n\)-complexes
• Algebraic vector bundles on projective spaces: A problem list
• The syzygy problem
• Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem.
• Homology of perfect complexes
• Finiteness in derived categories of local rings
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
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