Affiliation:
1. Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou 730050 , P. R. China
Abstract
Abstract
Let 𝐴 and 𝐵 be rings and 𝑈 a
(
B
,
A
)
(B,A)
-bimodule.
The Gorenstein projective, injective and flat complexes over the formal triangular matrix ring
T
=
(
A
0
U
B
)
T=\bigl{(}\!\begin{smallmatrix}A&0\\
U&B\end{smallmatrix}\!\bigr{)}
are explicitly described.
These statements extend some earlier results of Enochs, Cortés-Izurdiaga, Torrecillas, Zhang and Mao in this direction.
Funder
National Natural Science Foundation of China