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Tilting Modules and Dominant Dimension with Respect to Injective Modules.
- Source :
-
Quarterly Journal of Mathematics . Sep2021, Vol. 72 Issue 3, p855-884. 30p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study a relationship between tilting modules with finite projective dimension and dominant dimension with respect to injective modules as a generalization of results of Crawley-Boevey–Sauter, Nguyen–Reiten–Todorov–Zhu and Pressland–Sauter. Moreover, we give characterizations of almost n -Auslander–Gorenstein algebras and almost n -Auslander algebras by the existence of tilting modules. As an application, we describe a sufficient condition for almost 1-Auslander algebras to be strongly quasi-hereditary by comparing such tilting modules and characteristic tilting modules. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GORENSTEIN rings
*ALGEBRA
*GENERALIZATION
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 00335606
- Volume :
- 72
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Quarterly Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 152419609
- Full Text :
- https://doi.org/10.1093/qmath/haaa050