IDEALIZED EXTENSIONS OF ARTIN ALGEBRAS AND FINITISTIC DIMENSIONS

被引：3
|
作者：
Xu, Dengming [1 ,2 ]
机构：
[1] Civil Aviat Univ China, BCMIIS, Sino European Inst Aviat Engn, Tianjin 300300, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 03期
关键词：
Finitistic dimension; Idealized extension; Left idealized extension; CONJECTURE;
D O I：
10.1080/00927872.2014.998044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article compares the finitistic dimensions of two algebras involved in an idealized extension of Artin algebras under certain conditions. Precisely, we prove that, for the extension of Artin algebras B subset of A with the same identity, under the assumption that the Jacobson radical rad(B) of B is an ideal of A and that the quotient algebra A/rad(B) has Loewy length 2, if the global dimension of A is at most 4, then the finitistic dimension of B is finite.
引用
收藏
页码：965 / 976
页数：12
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