1. Semibrick-cosilting correspondence
- Author
-
Ebrahimi, Ramin and Nasr-Isfahani, Alireza
- Subjects
Mathematics - Representation Theory ,Mathematics - Rings and Algebras ,18E10, 18E20, 18E99 - Abstract
Let $\Lambda$ be a finite dimensional algebra. In this paper we show that there is a natural bijection between cosilting modules in Mod$\Lambda$ and semibricks in Mod$\Lambda$ satisfying some condition. Also this bijection restricts to a bijection between all semibricks in mod$\Lambda$ and a certain subclass of cosilting modules. These bijections are generalizations of Asai's correspondence [7] between support $\tau^-$-tilting modules and right finite semibricks.
- Published
- 2024