'Jede' endliche freie Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals
From MaRDI portal
Publication:1227039
DOI10.1016/0021-8693(76)90047-8zbMath0329.13010OpenAlexW2028213871MaRDI QIDQ1227039
Publication date: 1976
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(76)90047-8
Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items
The structure of DGA resolutions of monomial ideals, Lower Bounds on Betti Numbers, Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials, Primary decompositions of three-generated ideals, The regularity conjecture for prime ideals in polynomial rings, Zur Konstruktion basischer Elemente, The buchsbaum-eisenbud structure theorems and alternating syzygies, Algebraic properties of Hermitian sums of squares, II, Self-duality of rank 2 reflexive modules, Graded basic elements, Syzygies over a polynomial ring, Multiple structures with arbitrarily large projective dimension supported on linear subspaces, Syzygies, ideals of height two, and vector bundles, Strength conditions, small subalgebras, and Stillman bounds in degree ≤4, Order Ideals of Minimal Generators, Bourbaki's theorem and prime ideals, Extremal Betti numbers and applications to monomial ideals, Koh like theorems for polynomials in mixed characteristic, Syzygy theorems via comparison of order ideals on a hypersurface, A family of ideals with few generators in low degree and large projective dimension, On heights and grades of determinantal ideals, Generic subideals of graph ideals and free resolutions, On the bettinumbers of finite pure and linear resolutions, Die Verallgemeinerung eines Satzes von Bourbaki und einige Anwendungen, The Evans-Griffith Syzygy Theorem and Bass Numbers, Betti Numbers of ℤn-Graded Modules, Ideals with larger projective dimension and regularity, Zur Einbettung von Moduln in zyklische Moduln und direkte Summen zyklischer Moduln, Eine Charakterisierung der \((R_k,S_{k+1})\)-Ringe, Basische Elemente in Steinschen Moduln, Three themes of syzygies, Small subalgebras of polynomial rings and Stillman’s Conjecture, Even liaison classes generated by Gorenstein linkage, Rank 2 Cohen-Macaulay modules over singularities of type \(x_1^3+x_2^3+x_3^3+x_4^3\), Modules, Pathology in divisor class groups of hypersurfaces, Order ideals, annihilator ideals and pathological behavior
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Some structure theorems for finite free resolutions
- Generating modules efficiently: Theorems from algebraic K-theory
- Eine Dualität zwischen den Funktoren Ext und Tor
- On an application of the Fitting invariants
- Differentielle Eigenschaften der Lokalisierungen analytischer Algebren. (Differential properties of localizations of analytic algebras)
- Zu einem Satz von G. Trautmann über den Rang gewisser kohärenter analytischer Moduln
- Stable module theory
- Ideals Generated by Three Elements