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math.RT2022
Mirror-reflective algebras and Tachikawa's second conjecture
Hongxing Chen, Ming Fang, Changchang Xi
Given an algebra with an idempotent, we introduce two procedures to construct families of new algebras, termed mirror-reflective algebras and reduced mirror-reflective algebras. We…
math.RT2022
New invariants of stable equivalences of algebras
Changchang Xi, Jinbi Zhang
We show that stable equivalences between Artin algebras without nodes preserve homological data that provide upper bounds for finitistic dimension, and that stable equivalences bet…
math.RT2022
Gorenstein projective modules over rings of Morita contexts
Qianqian Guo, Changchang Xi
Under semi-weak and weak compatibility of bimodules, we establish sufficient and necessary conditions of Gorenstein-projective modules over rings of Morita contexts with one bimodu…