| 关于periodic模的注记 |
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| 引用本文： | 汪建,吴金勇. 关于periodic模的注记[J]. 山东大学学报(理学版), 2021, 56(8): 94-98. DOI: 10.6040/j.issn.1671-9352.0.2021.139 |
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| 作者姓名： | 汪建 吴金勇 |
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| 作者单位： | 1.金陵科技学院理学院, 江苏 南京 211169;2.温州大学数理学院, 浙江 温州 325035 |
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| 基金项目： | 江苏省高等学校自然科学研究资助项目(19KJB110012);国家自然科学基金资助项目(11701429);金陵科技学院博士科研启动基金(jit-b-201615) |
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| 摘 要： | 设R是一个环,A是一个由左R-模构成的类.对于投射可解的预盖类A,利用维数转移的方法,通过A-维数和自正交模的性质得到了A-periodic左R-模M仍然在A中的充分条件.作为应用,在R的左Gorenstein整体维数有限的条件下刻画了R的左整体维数的有限性.此外,还在一定条件下得到了A⊥中的无限表现偏倾斜模的等价刻画...
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| 关 键 词： | A-periodic模 左整体维数 偏倾斜模 |
Some notes on periodic modules |
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| WANG Jian,WU Jin-yong. Some notes on periodic modules[J]. Journal of Shandong University, 2021, 56(8): 94-98. DOI: 10.6040/j.issn.1671-9352.0.2021.139 |
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| Authors: | WANG Jian WU Jin-yong |
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| Affiliation: | 1. College of Science, Jinling Institute of Technology, Nanjing 211169, Jiangsu, China;2. College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, Zhejiang, China |
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| Abstract: | Let R be a ring and A a class of left R-modules. Assume that A is a projectively resolving precovering class, using dimension shifting, a sufficient condition for an A -periodic left R-module M in A is obtained by applying the properties of A -dimensions and self-orthogonal modules. As an application, some characterizations of finiteness of the left global dimension of R are given which provided that the left Gorenstein global dimension of R is finite. In addition, under an extra condition, a characterization of infinitely presented partial tilting modules in A⊥ is supplied. |
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| Keywords: | A -periodic module left global dimension partial tilting module |
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