Back to Search
Start Over
Semibrick-cosilting correspondence
- Publication Year :
- 2024
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.11168
- Document Type :
- Working Paper