Work

Semibrick‐cosilting correspondence

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70076

Authors: Ramin Ebrahimi, Alireza Nasr‐Isfahani

Institutions: Institute for Research in Fundamental Sciences, University of Isfahan

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Iran National Science Foundation, Institute for Research in Fundamental Sciences

Awards: G4129608961, G6345885809, G7703233025