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 …

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 …

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 …

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 …

Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair 𝒟 T over T using duality pairs over A and B, respectively. Then we …

形式三角矩阵环上的F-Gorenstein平坦模 Page 1 第61卷第5期 吉林大学学报(理学版) Vol.61
No.5 2023年9月 JournalofJilinUniversity(ScienceEdition) Sep 2023 doi:10.13413/j.cnki.jdxblxb.2022470 …

In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

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 …