Testing for the Gorenstein property
From MaRDI portal
Publication:314658
DOI10.1007/s13348-015-0163-xzbMath1349.13018arXiv1504.08014OpenAlexW2964007707MaRDI QIDQ314658
Olgur Celikbas, Sean K. Sather-Wagstaff
Publication date: 16 September 2016
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.08014
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Derived categories and commutative rings (13D09)
Related Items (13)
Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Ascent properties for test modules ⋮ Vanishing of Ext and Tor over fiber products ⋮ On the ideal case of a conjecture of Auslander and Reiten ⋮ Test modules, weakly regular homomorphisms and complete intersection dimension ⋮ Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology ⋮ Integrally closed \(\mathfrak{m}\)-primary ideals have extremal resolutions ⋮ Homological dimensions of Burch ideals, submodules and quotients ⋮ On modules with self Tor vanishing ⋮ Totally reflexive modules over rings that are close to Gorenstein ⋮ Maximally differential ideals of finite projective dimension ⋮ POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY ⋮ Homological dimensions of rigid modules
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relations between semidualizing complexes
- Homological dimensions of unbounded complexes
- Finite homological dimension and primes associated to integrally closed ideals. II.
- \(G\)-dimension over local homomorphisms. Applications to the Frobenius endomorphism
- Gorenstein dimensions
- Homological dimensions of rigid modules
- Modules that detect finite homological dimensions
- Semidualizing modules and the divisor class group
- Independence of the total reflexivity conditions for modules
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Semi-dualizing complexes and their Auslander categories
- Lower bounds for the number of semidualizing complexes over a local ring
- Gorenstein Modules and Related Modules.
- Homological Dimension in Local Rings
- Homology over local homomorphisms
- Reflexivity and Ring Homomorphisms of Finite Flat Dimension
- Locally Gorenstein Homomorphisms
- Ring Homomorphisms and Finite Gorenstein Dimension
- Finite homological dimension and primes associated to integrally closed ideals
- G-Dimension.
- On Macaulayfication of Noetherian schemes
- Adic finiteness: Bounding homology and applications
- On G-Regular Local Rings
- ON TEST MODULES FOR FLAT DIMENSION
- Stable module theory
This page was built for publication: Testing for the Gorenstein property
