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Dlab's theorem and tilting modules for stratified algebras
- Source :
-
Journal of Algebra . Aug2007, Vol. 314 Issue 2, p507-537. 31p. - Publication Year :
- 2007
-
Abstract
- Abstract: In the first part of the paper we give a characterization for an associative algebra to be standardly stratified in the sense of Cline, Parshall and Scott, generalizing a theorem of V. Dlab. In the second part of the paper we construct characteristic tilting modules for standardly stratified algebras and use them to estimate the finitistic dimension of such algebras. These tilting modules give rise to the Ringel duality concept for stratified algebras. We also define and investigate a generalization of the notion of properly stratified algebras to the above setup. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
*BIOLOGICAL variation
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 314
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 25407546
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.08.041