The buchsbaum-eisenbud structure theorems and alternating syzygies

DOI10.1080/00927878708823448zbMath0623.13006OpenAlexW2067650470MaRDI QIDQ3760641

Winfried Bruns

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00927878708823448

zbMATH Keywords

syzygiesorientationfinite free resolutionsBuchsbaum-Eisenbud structure theorems

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

Ideals of minors in free resolutions, Auslander modules and quasi-homogeneity of local rings, Ranks of syzygies of perfect modules, Primary decompositions of three-generated ideals, On the projective dimension and the unmixed part of three cubics, Generic subideals of graph ideals and free resolutions, Liaison classes of modules, Vanishing theorems for complete intersections, Order ideals and a generalized Krull height theorem, Homogeneous prime ideals and graded modules fitting into long Bourbaki sequences, Even liaison classes generated by Gorenstein linkage, Constructing schemes with prescribed cohomology in arbitrary codimension

Cites Work

• Unnamed Item
• Self-duality of rank 2 reflexive modules
• Resolutions of the exterior and symmetric powers of a module
• The syzygy problem
• Some structure theorems for finite free resolutions
• 'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
• Freie Auflösungen äußerer Potenzen
• On the generic free resolutions
• Torsion äußerer Potenzen von Moduln der homologischen Dimension 1
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3