Free resolutions over short Gorenstein local rings
From MaRDI portal
Publication:2430652
DOI10.1007/s00209-009-0639-zzbMath1213.13031arXiv0904.3510OpenAlexW2602106176MaRDI QIDQ2430652
Inês Bonacho Dos Anjos Henriques, Liana M. Şega
Publication date: 8 April 2011
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3510
Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)
Related Items
Auslander Class, GC, andC–projective Modules Modulo Exact Zero-divisors ⋮ Totally reflexive modules and Poincaré series ⋮ Existence and Constructions of Totally Reflexive Modules ⋮ Artinian level algebras of socle degree 4 ⋮ The Golod property of powers of the maximal ideal of a local ring ⋮ Minimal quasi-complete intersection ideals ⋮ Brauer-Thrall for totally reflexive modules ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ The multiplicative structure on Hochschild cohomology of a complete intersection ⋮ On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand ⋮ The absolutely Koszul property of Veronese subrings and Segre products ⋮ Some criteria for detecting large homomorphisms of local rings ⋮ Self-tests for freeness over commutative Artinian rings. ⋮ On the Regularity and Koszulness of Modules Over Local Rings ⋮ Unnamed Item ⋮ On the existence of non-free totally reflexive modules ⋮ Exact pairs of homogeneous zero divisors ⋮ Brauer-Thrall for totally reflexive modules over local rings of higher dimension ⋮ Absolutely Koszul algebras and the Backelin-Roos property ⋮ Filtrations of Totally Reflexive Modules ⋮ The exact annihilating-ideal graph of a commutative ring ⋮ The exact zero-divisor graph of a reduced ring
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homology of Noetherian rings and local rings
- The Poincaré series of a codimension four Gorenstein ring is rational
- Finitely presented graded Lie algebras and homomorphisms of local rings
- Poincaré series of modules over local rings of small embedding codepth or small linking number
- Local rings and Golod homomorphisms
- Local rings over which all modules have rational Poincaré series
- Rings with the dual of the isomorphism theorem.
- Koszul modules
- Good and bad Koszul algebras and their Hochschild homology
- On the ubiquity of Gorenstein rings
- Free resolutions over short local rings
- Large homomorphisms of local rings.
- A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
- Form rings and regular sequences
- Gorenstein quotients by principal ideals of free Koszul homology
- Homological properties of powers of the maximal ideal of a local ring
