| 有限表现型模与w-凝聚环(英文) |
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| 引用本文： | 王芳贵. 有限表现型模与w-凝聚环(英文)[J]. 四川师范大学学报(自然科学版), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.001 |
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| 作者姓名： | 王芳贵 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 引进了有限型模与w-凝聚环的概念,进行了相关刻划.还证明了R是w-Noether环当且仅当每个有限型模是有限表现型的.由此得到w-Neother环是w-凝聚环.
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| 关 键 词： | w-模 有限型模 有限表现型模 w-凝聚环 |
Finitely Presented Type Modules and w-Coherent Rings |
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| WANG Fang-gui. Finitely Presented Type Modules and w-Coherent Rings[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(1). DOI: 10.3969/j.issn.1001-8395.2010.01.001 |
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| Authors: | WANG Fang-gui |
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| Affiliation: | WANG Fang-gui (College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper we introduce the notions of finitely presented type modules and w-coherent rings and make a general discussion on them.We show that a ring R is w-Noetherian if and only if every finite type module is of finitely presented type.Then we get that w-Noetherian rings are w-coherent. |
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| Keywords: | w-module finite type finitely presented type w-coherent ring |
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