Semibrick‐cosilting correspondence
Abstract Let 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.
Authors
- Alireza Nasr‐Isfahani (ORCID: https://orcid.org/0000-0003-2398-5722)
- Ramin Ebrahimi (ORCID: https://orcid.org/0000-0001-6161-3159)
Institutions
- University of Isfahan (IR)
- Institute for Research in Fundamental Sciences (IR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1112/blms.70076
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Iran National Science Foundation
- Institute for Research in Fundamental Sciences