From $\tau$-tilting to ${\tau }_2$-tilting via splitting tilting triples

Zhongyuan Wang, Haicheng Zhang, Tiwei Zhao

Let $(A,T,B)$ be a splitting tilting triple. We provide a construction of ${\tau }_2$-tilting $B$-modules from $\tau$-tilting $A$-modules. On the other hand, if $A$ is hereditary, by consid…