(m,n)-Igusa-Todorov Algebras,IT-Dimensions and Triangular Matrix Algebras  

作　　者：Jiyuan TANG Yuanfeng ZHANG Hanpeng GAO 

机构地区：[1]School of Mathematical Sciences,Anhui University,Anhui 230601,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第3期337-343,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12301041);the Science Foundation for Distinguished Young Scholars of Anhui Province(Grant No.2108085J01)。

摘　　要：Let T,U be two Artin algebras and_(U)M_(T)be a U-T-bimodule.In this paper,we get a necessary and sufficient condition such that the formal triangular matrix algebra Λ=(T 0 M U)is(m,n)-Igusa-Todorov when_(U)M,M_(T)are projective.We also study the Igusa-Todorov dimension of Λ.More specifically,it is proved that max{IT.dim T,IT.dim U}≤IT.dim Λ≤min{max{gl.dim T,IT.dim U},max{gl.dim U,IT.dim T}}.

关 键 词：Igusa-Todorov algebras IT-dimensions triangular matrix algebras 

分 类 号：O15[理学—数学]