Tilting modules and Gorenstein rings
By Lidia Angeleri Hugel, Dolors Herbera, Jan Trlifaj. 2006
77 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/00ffea3a09f12ea7c63bff98824b119a1944015e
How researchers see this paper
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In Algebra and Number Theory
- J. Št’ovíček
- Lidia Angeleri Hugel
- Jan Trlifaj
- Dolors Herbera
- F. Marks
- Lidia Angeleri-Hugel
- David Pospíšil
- Jorge Vit'oria
In Geometry and Topology
- J. Št’ovíček
- Lidia Angeleri Hugel
- Jorge Vit'oria
- Jan Trlifaj
- L. Positselski
- Dolors Herbera
- F. Marks
- Lidia Angeleri-Hugel
In Statistical and Nonlinear Physics
- J. Št’ovíček
- Lidia Angeleri Hugel
- L. Positselski
- David Pospíšil
- Jan Trlifaj
- Dolors Herbera
- F. Marks
- Jorge Vit'oria
Citations in the corpus
- Silting modules (2014, background): “They also shed a new light on the Homological Conjectures (se e for example [10, 5]).”
- Tilting, cotilting, and spectra of commutative noetherian rings (2012, background): “ls of epimorphisms, and R ∈S. If Sconsists of modules of projective dimension ≤1, the requirement of Sbeing closed under kernels of epimorphisms is redundant by [18, Lemma 5.2.22]. Using results from [2, 7, 8], we learn that resolving subclasses of mod–R parametrize tilting classes (and hence also t”
- The Tilting–Cotilting Correspondence (2017, background): “the discussion of the injective tilting module over a Noetherian Gorenstein ring in [4] and [27, Example 13.”
- Envelopes and Covers by Modules of Finite FP-Injective and Flat Dimensions (2007, unknown): “The problem of the existence of envelopes and covers by different classes of modules has become an active branch of algebra, especially after the appearance of these concepts in Enochs (1981) (with the terminology envelopes and covers) and in Auslander and Smalø (1980) (with the terminology minimal ”
- Mittag-Leffler conditions on modules (2007, background): “4 is an n-cotilting cotorsion pair cogenerated by the cotilting module T , see [4].”