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τ-Tilting modules over one-point extensions by a simple module at a source point.
- Source :
- Journal of Algebra & Its Applications; Jun2022, Vol. 21 Issue 6, p1-8, 8p
- Publication Year :
- 2022
-
Abstract
- Let B be an one-point extension of a finite-dimensional k -algebra A by a simple A -module at a source point i. In this paper, we classify the τ -tilting modules over B. Moreover, it is shown that there are equations | τ − tilt B | = | τ − tilt A | + | τ − tilt A / 〈 e i 〉 | and | s τ − tilt B | = 2 | s τ − tilt A | + | s τ − tilt A / 〈 e i 〉 |. As a consequence, we can calculate the numbers of τ -tilting modules and support τ -tilting modules over linearly Dynkin type algebras whose square radical are zero. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGEBRA
EQUATIONS
MODULES (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 21
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 157058790
- Full Text :
- https://doi.org/10.1142/S0219498822501225