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arXiv · 2403.11168

Semibrick-cosilting correspondence

Ramin Ebrahimi·Alireza Nasr-Isfahani
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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.

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Ramin Ebrahimi, Alireza Nasr-Isfahani. 2024-03-17. Semibrick-cosilting correspondence. https://arxiv.org/abs/2403.11168

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