Semibrick-cosilting correspondence
Representation Theory
2024-03-19 v1 Rings and Algebras
Abstract
Let be a finite dimensional algebra. In this paper we show that there is a natural bijection between cosilting modules in Mod and semibricks in Mod satisfying some condition. Also this bijection restricts to a bijection between all semibricks in mod and a certain subclass of cosilting modules. These bijections are generalizations of Asai's correspondence [7] between support -tilting modules and right finite semibricks.
Cite
@article{arxiv.2403.11168,
title = {Semibrick-cosilting correspondence},
author = {Ramin Ebrahimi and Alireza Nasr-Isfahani},
journal= {arXiv preprint arXiv:2403.11168},
year = {2024}
}