Betti numbers of multigraded modules

DOI10.1016/0021-8693(91)90103-FzbMath0729.13014MaRDI QIDQ805679

Hara Charalambous

Publication date: 1991

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

zbMATH Keywords

regular local ringBetti numberfinite length multigraded moduleHorrocks' question

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Regular local rings (13H05)

Related Items

Lower Bounds on Betti Numbers, Lower bounds for Betti numbers of monomial ideals, Representations of matroids and free resolutions for multigraded modules, Betti numbers of modules of exponent two over regular local rings, Unnamed Item, Lower bounds for Betti numbers over fiber product rings, Koszul almost complete intersections, A deformation theory approach to Betti numbers of finite length modules, Upper bounds for Betti numbers of multigraded modules, Betti Numbers of ℤⁿ-Graded Modules, Betti Numbers for Modules of Finite Length, Structural decomposition of monomial resolutions, Monomial ideals with large projective dimension, Average behavior of minimal free resolutions of monomial ideals, Lower bounds for Betti numbers of special extensions, Order ideals, annihilator ideals and pathological behavior

Cites Work

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• Horrocks' question for monomially graded modules
• Algebraic vector bundles on projective spaces: A problem list
• Homology of Noetherian rings and local rings
• Binomial behavior of Betti numbers for modules of finite length
• On the ubiquity of Gorenstein rings
• Betti Numbers for Modules of Finite Length
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3