| 三角矩阵环上FC-投射模的刻画 |
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| 引用本文： | 吴德军,付家慧.三角矩阵环上FC-投射模的刻画[J].兰州理工大学学报,2022,48(4):144. |
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| 作者姓名： | 吴德军 付家慧 |
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| 作者单位： | 兰州理工大学 理学院, 甘肃 兰州 730050 |
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| 基金项目： | 国家自然科学基金(11761047) |
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| 摘 要： | 设T=A0UB是形式三角矩阵环,其中A,B是环,U是(B,A)-双模. 给出了有限余生成左T-模和有限余表示左T-模在形式三角矩阵环上的等价刻画, 进而给出了形式三角矩阵环T上FC-投射左T-模的刻画.作为应用,讨论了左T-模的FC-投射维数.
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| 关 键 词： | FC-投射模 余诺特环 FC-投射维数 |
| 收稿时间： | 2021-05-06 |
A characterization of FC-projective modules over triangular matrix rings |
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| WU De-jun,FU Jia-hui.A characterization of FC-projective modules over triangular matrix rings[J].Journal of Lanzhou University of Technology,2022,48(4):144. |
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| Authors: | WU De-jun FU Jia-hui |
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| Institution: | School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China |
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| Abstract: | Let T=A0 UB be a formal triangular matrix ring, where A and B are rings and U is a (B, A)-bimodule. Equivalent characterizations of left T-modules of finite cogeneration and finite corepresentation on the formal triangular matrix ring are given. Furthermore, a characterization of FC-projective left T-modules over the formal triangular matrix ring is given. As an application, the FC-projective dimensions of left T-modules are discussed. |
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| Keywords: | FC-projective module co-noetherian ring FC-projective dimension |
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