Infinitely generated tilting modules of finite projective dimension
By Lidia Angeleri, F. U. Coelho. 2001
154 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9987b01e0b90cabc1c6a797fd4f55ac57ab9035f
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In Algebra and Number Theory
- J. Št’ovíček
- Lidia Angeleri Hugel
- Dolors Herbera
- Jan Trlifaj
- Changchang Xi
- Hongxing Chen
- L. Positselski
- Silvana Bazzoni
In Geometry and Topology
- J. Št’ovíček
- Lidia Angeleri Hugel
- L. Positselski
- Dolors Herbera
- Jan Trlifaj
- Changchang Xi
- Hongxing Chen
- Silvana Bazzoni
Citations in the corpus
- Tilting theory and the finitistic dimension conjectures (2002, methodology): “We show for any right noetherian ring R that findimR < oo if and only if the Ext-orthogonal class (P<o)L equals TL where T is an (infinitely generated) tilting module in the sense of [1].”
- Tilting modules and Gorenstein rings (2006, background): “[2].”
- COVERS, ENVELOPES, AND COTORSION THEORIES (2000, background): “This theory has recently been extended to arbitrary modules [ 4 ], [5], [19].”
- Infinite Dimensional Representations of Canonical Algebras (2002, background): “Let us refer here to Colpi-Trlifaj [CP] where these inf-tilting modules of projective dimension at most 1 have been considered and to Colpi-D’Este-Tonolo [CET] for an investigation of inf-cotilting modules of injective dimension at most 1, but also to [ AC ] and [ATT].”
- A characterization of n-cotilting and n-tilting modules (2004, background): “In [1] Angeleri Hügel and Coelho over an extensive study of infinitely generated tilting and cotilting modules of finite”
- Good tilting modules and recollements of derived module categories (2010, background): “2, we can extend εX to a canonical triangle in D(R): GH(X) εX −→ X −→ i∗i(X)−→GH(X)[1].”
- The Tilting–Cotilting Correspondence (2017, methodology): “According to the definition going back to the papers [2, 12], a left A-module T is called n-tilting if it satisfies the conditions (i–ii) from Section 2 as an object of the category A–mod, and in addition, the following condition holds:”
- All tilting modules are of finite type (2007, methodology): “[1] or [22]), Ω(T ) ⊥ is an (n − 1)-tilting class.”