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Abstract
AbstractLet be a finite‐dimensional algebra. In this paper, we show that there is a natural bijection between cosilting modules in and semibricks in satisfying some condition. Also this bijection restricts to a bijection between all semibricks in and a certain subclass of cosilting modules. These bijections are generalizations of Asai's correspondence (Int. Math. Res. Not. 16 (2020) 4993–5054) between support ‐tilting modules and right finite semibricks.
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