Betti Numbers of ℤn-Graded Modules
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Publication:4678702
DOI10.1081/AGB-200036803zbMath1077.13007arXivmath/0303349OpenAlexW1981399571MaRDI QIDQ4678702
Publication date: 23 May 2005
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303349
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)
Related Items (4)
Lower Bounds on Betti Numbers ⋮ Unnamed Item ⋮ Componentwise linear ideals with minimal or maximal Betti numbers ⋮ Average behavior of minimal free resolutions of monomial ideals
Cites Work
- Algebraic vector bundles on projective spaces: A problem list
- Betti numbers of multigraded modules
- Some linear syzygy conjectures
- 'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
- The Eisenbud-Koh-Stillman conjecture on linear syzygies
- Bounds for Betti numbers
- On the bettinumbers of finite pure and linear resolutions
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
- Sheaf cohomology and free resolutions over exterior algebras
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