吉林大学学报（理学版）2025，Vol.63Issue(6)：1586-1592,7.DOI:10.13413/j.cnki.jdxblxb.2025044
一类形式三角矩阵环上的Ding模
Ding Modules over a Class of Formal Triangular Matrix Rings
摘要
Abstract
Let T=(R O C S)be a formal triangular matrix ring,where R and S are associative rings with identity element,C is a faithfully semidualizing(S,R)-bimodule.It is showed that:1)M is a Ding C-projective left S-module if and only if(Homs(C,M)M) is a Ding projective left T-module;2)N is Ding C-injective left R-module if and only if(NC⊗RN)is a Ding injective left T-module. The obtained conclusions establish links between Ding C-modules and Ding modules through T.关键词
形式三角矩阵环/半对偶模/Ding投射(内射)模/Ding C投射(C-内射)模Key words
formal triangular matrix ring/semidualizing module/Ding projective(injective)module/Ding C-projective(C-injective)module分类
数理科学引用本文复制引用
熊郑瑶,赵仁育..一类形式三角矩阵环上的Ding模[J].吉林大学学报（理学版）,2025,63(6):1586-1592,7.基金项目
国家自然科学基金(批准号:11861055 （）
12061061)和甘肃省第一批陇原青年英才项目(批准号:23JRRA684). （批准号:23JRRA684）
