The Resolution Dimension with Respect to a Resolving Subcategory over Triangular Matrix Rings
摘要
Let T=(A0 UB)be a triangular matrix ring with A,B rings and U a B-A-bimodule.We construct resolving subcategories of T-Mod from those of A-Mod and B-Mod.Then we give an estimate of the global resolving resolution dimension of T in terms of that of A and of B.Some applications of these results are given.
共引文献2
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1Jiangsheng HU,Dondong ZHANG,Panyue ZHOU.Proper resolutions and Gorensteinness in extriangulated categories[J].Frontiers of Mathematics in China,2021,16(1):95-117. 被引量:3
-
2Xin Ma,Tiwei Zhao,Zhaoyong Huang,Nanqing Ding.Left Frobenius Pairs,Cotorsion Pairs and Weak Auslander-Buchweitz Contexts in Triangulated Categories[J].Algebra Colloquium,2024,31(2):285-308.
-
1Huanhuan LI.An Explicit Ladder of Homotopy Categories[J].Chinese Annals of Mathematics,Series B,2020,41(2):209-226.
-
2Juan Huang,Hailan Jin,Tai Keun Kwak,Yang Lee,Zhelin Piao.Remarks on Centers of Rings[J].Algebra Colloquium,2021,28(1):1-12.
-
3Yueming Xiang.Homological Dimensions of Skew Group Rings[J].Algebra Colloquium,2020,27(2):319-330. 被引量:2
-
4Jiangsheng Hu,Haiyan Zhu.Special precovering classes in comma categories[J].Science China Mathematics,2022,65(5):933-950. 被引量:4
-
5Jin Xie,Gaohua Tang.An Upper Bound for the w-Weak Global Dimension of Pullbacks[J].Algebra Colloquium,2021,28(4):689-700.
-
6Meiqi YAN,Hailou YAO.Gorenstein Hereditary and FP-Injectivity over Formal Triangular Matrix Rings[J].Journal of Mathematical Research with Applications,2020,40(6):596-608. 被引量:2
-
7Tan Lingling,Zhang Yixia,Zhou Panyue.(m,n)-coherent Rings and FP_((m,n))-projective Modules[J].数学理论与应用,2024,44(4):1-18.
-
8CHEN Sheng,HU Haofei.T-Type Digraphs via Kronecker Canonical Form[J].Journal of Systems Science & Complexity,2025,38(3):1259-1280.