Let A and B be rings and U a (B, A)-bimodule. Under some conditions, Ω Ω-Gorenstein
module over the formal triangular matrix ring T=\left (A\,\quad 0\U\quad B\) T= A 0 UB is …

Abstract Let $\mathit {\Lambda}=\left ({array}{cc} A & M\\0 & B {array}\right) $ be a triangular
matrix ring, where A and B are rings, and M is a AB bimodule. In this paper, the class Φ …

Let T be a formal triangular matrix ring, where A and B are rings and U is a (B, A)-bimodule.
A characterization of Gorenstein FP-injective left T-modules over the formal triangular matrix …

Let A and B be rings and U be a (B, A)-bimodule. If BU has finite flat dimension, UA has finite
flat dimension and U⊗ AC is a cotorsion left B-module for any cotorsion left A-module C …

Let 𝐴 and 𝐵 be rings and 𝑈 a (B, A)-bimodule. The Gorenstein projective, injective and flat
complexes over the formal triangular matrix ring T=(A 0 UB) are explicitly described. These …

Let A and B be rings and U a (B, A)-bimodule. If BU is flat and UA is finitely generated
projective (resp., BU is finitely generated projective and UA is flat), then the characterizations …

Abstract Let $ A $ and $ B $ be rings, $ U $ a $(B, A) $-bimodule, and $ T=\left (\begin
{smallmatrix} A & 0\\U & B\\\end {smallmatrix}\right) $ the triangular matrix ring. In this paper …

Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …

3 阶三角矩阵环上的 Gorenstein 投射模及其维数 Page 1 3 阶三角矩阵环上的 Gorenstein 投射模
及其维数 杨 瑞,王 淼,王占平** (西北师范大学 数学与统计学院,甘肃 兰州 730070) T = Ñ A1 0 0 …

Abstract Suppose that $ T=\(\array {A&0\\U&B}\) $ is a formal triangular matrix ring, where A
and B are rings and U is a (B, A)-bimodule. Let ℭ 1 and ℭ 2 be two classes of left A-modules …