一类形式三角矩阵环上的Ding模

吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (6): 1586-1592.

一类形式三角矩阵环上的Ding模

熊郑瑶, 赵仁育

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2025-02-17 出版日期:2025-11-26 发布日期:2025-11-26
通讯作者: 赵仁育 E-mail:zhaory@nwnu.edu.cn

Ding Modules over a Class of Formal Triangular Matrix Rings

XIONG Zhengyao, ZHAO Renyu

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2025-02-17 Online:2025-11-26 Published:2025-11-26

摘要/Abstract

摘要： 设T是形式三角矩阵环, 其中R和S是有单位元的结合环, C是忠实半对偶(S,R)-双模. 证明: 1) M是Ding C-投射左S-模; 2) N是Ding C-内射左R-模. 所得结论通过T建立了Ding C-模与Ding模的联系.

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

Abstract: Let T 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; 2) N is Ding C-injective left R-module. The obtained conclusions establish links between Ding C-modules and Ding modules through T.

Key words: formal triangular matrix ring, semidualizing module, Ding projective (injective) module, Ding C-projective (C-injective) module

中图分类号:

O153.3

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.

XIONG Zhengyao, ZHAO Renyu. Ding Modules over a Class of Formal Triangular Matrix Rings[J]. Journal of Jilin University Science Edition, 2025, 63(6): 1586-1592.

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