Work

Applications of Gorenstein projective τ-rigid modules

Year: 2025

Type: article

Abstract: We introduce the notion of [Formula: see text]-[Formula: see text]-tilting free algebras as the generalization of [Formula: see text]-free algebras and show the construction of [Formula: see text]-[Formula: see text]-tilting free algebras. We give a bijection between Gorenstein projective [Formula: see text]-rigid modules and certain modules over an endomorphism algebra. We give a partial answer to Tachikawa’s first conjecture by using Gorenstein projective [Formula: see text]-rigid modules.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826501665

Authors: Hui Liu, Xiaojin Zhang, Yingying Zhang

Institutions: Nanjing University, Jiangsu Normal University, Huzhou Normal University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G2247256101, G2985936811, G5646081729