TITLE:
Relative Ding Projective Modules over Formal Triangular Matrix Rings
AUTHORS:
Hongyan Fan, Xi Tang
KEYWORDS:
Formal Triangular Matrix Ring, Relative Ding Projective Module, Relative Ding Projective Dimension
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.6,
June
28,
2023
ABSTRACT: Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this paper, we characterize the structure of relative Ding projective modules over T under some conditions. Furthermore, using the left global relative Ding projective dimensions of A and B, we estimate the relative Ding projective dimension of a left T-module.