Abstract
Let T,U be two Artin algebras and UMT be a U-T-bimodule.In this paper,we get a necessary and sufficient condition such that the formal triangular matrix algebra A=(TM 0U)is(m,n)-Igusa-Todorov when uM,MT are projective.We also study the Igusa-Todorov dimension of A.More specifically,it is proved that nax{IT.dim T,IT.dim U} ≤ IT.dim A ≤ min{max{gl.dim T,IT.dim U},max{gl.dim U,IT.dim T}}.
基金项目
National Natural Science Foundation of China(12301041)
Science Foundation for Distinguished Young Scholars of Anhui Province(2108085J01)
NETL
NSTL
万方数据