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Tilting modules over an algebra by Igusa, Smalø and Todorov
- Source :
-
Journal of Algebra . May2007, Vol. 311 Issue 1, p299-318. 20p. - Publication Year :
- 2007
-
Abstract
- Abstract: The finiteness of the little finitistic dimension of an artin algebra R is known to be equivalent to the existence of a tilting R-module T such that where is the category of all finitely presented R-modules of finite projective dimension. Moreover, T can be taken finitely generated if and only if is contravariantly finite. In this paper, we describe explicitly the structure of T for the IST-algebra, a finite-dimensional algebra with not contravariantly finite. We also characterize the indecomposable modules in , and all tilting classes over this algebra. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*MODULES (Algebra)
*FINITE groups
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 311
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 24457830
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.11.017