Journal of Jilin University Science Edition ›› 2025, Vol. 63 ›› Issue (6): 1586-1592.

Previous Articles     Next Articles

Ding Modules over a Class of Formal Triangular Matrix Rings

XIONG Zhengyao, ZHAO Renyu   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2025-02-17 Online:2025-11-26 Published:2025-11-26

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

CLC Number: 

  • O153.3