摘要
讨论了形式下三角矩阵环T=(AU OB)上的强Ding投射模和强Ding内射模,证明了当UA和BU的平坦维数有限,并且(M1M2)φM是强Ding投射左T-模时,M1是强Ding投射左A-模,φM是单同态,M2/ImφM是强Ding投射左B-模。
Strongly Ding projective and strongly Ding injective modules are investigated over the formal triangular matrix ring T=(AU 0B).It is proved that if both UA and BU have finite flat dimensions,and left T-module(M1M2)φM is strong Ding projective,left A-module M1 is strong Ding projective,φM is a monomorphism,left B-module M2/ImφM is strong Ding projective.
作者
赵阳
张文汇
ZHAO Yang;ZHANG Wen-hui(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第10期37-45,共9页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11861055)。
关键词
形式三角矩阵环
强Ding投射模
强Ding内射模
formal triangular matrix ring
strongly Ding projective module
strongly Ding injective module
