Homological properties of the perfect and absolute integral closures of noetherian domains
From MaRDI portal
Publication:985693
DOI10.1007/s00208-009-0474-xzbMath1211.13008arXiv0904.1540OpenAlexW2059485539MaRDI QIDQ985693
Publication date: 6 August 2010
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1540
Homological dimension and commutative rings (13D05) Integral closure of commutative rings and ideals (13B22) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion theory for commutative rings (13D30)
Related Items
On the Witt Vectors of Perfect Rings in Positive Characteristic, APPLICATIONS OF CLOSURE OPERATIONS ON BIG COHEN–MACAULAY ALGEBRAS, Coherence of absolute integral closures, Projectivity of the Witt vector affine Grassmannian, Frobenius Betti numbers and syzygies of finite length modules, Almost Cohen-Macaulay and almost regular algebras via almost flat extensions, F-coherent rings with applications to tight closure theory, Desingularization of regular algebras, Grade of Ideals with Respect to Torsion Theories
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tight closure and elements of small order in integral extensions
- Absolute integral closure in positive characteristic
- On the notion of Cohen-Macaulayness for non-Noetherian rings
- Commutative coherent rings
- Infinite integral extensions and big Cohen-Macaulay algebras
- Tight closure of parameter ideals
- Finite Tor dimension and failure of coherence in absolute integral closures
- Stable rings
- The direct summand conjecture in dimension three.
- Canonical elements in local cohomology modules and the direct summand conjecture
- Annihilators of local cohomology in characteristic zero
- On the joints of Hensel rings
- Extended plus closure and colon-capturing
- On the Homology Theory of General Commutative Rings
- Cohomological quotients and smashing localizations
- Commutative Torsion Theory
- Proregular sequences, local cohomology, and completion
- The subscript of ℵ_{𝑛} ,projective dimension, and the vanishing of lim_{←}⁽ⁿ⁾
- Loewy Length of Perfect Rings