| 弱投射维数 |
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| 引用本文： | 陈永明,杨晓燕.弱投射维数[J].纯粹数学与应用数学,2020(1):43-49. |
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| 作者姓名： | 陈永明 杨晓燕 |
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| 作者单位： | 西北师范大学数学系 |
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| 基金项目： | 国家自然科学基金(11761060). |
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| 摘 要： | 引入了弱投射模及弱投射维数的概念,说明弱投射模是FP-投射模的真子类.给出了环的整体弱投射维数的刻画,并得到了凝聚环和Noether的一些新的同调刻画.
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| 关 键 词： | 弱投射模 弱投射维数 凝聚环 NOETHER环 |
Weak projective dimensions |
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| Chen Yongming,Yang Xiaoyan.Weak projective dimensions[J].Pure and Applied Mathematics,2020(1):43-49. |
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| Authors: | Chen Yongming Yang Xiaoyan |
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| Institution: | (Department of Mathematics,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | In the article, we introduce the notions of weak projective modules and weak projective dimensions of rings and modules;show that the class of weak projective modules are strictly contained in that of FP-projective modules. We give a characterizations of the global weak projective dimensions of rings;and obtain some new homological characterizations of coherent rings and Noether rings. |
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| Keywords: | weak projective module weak projective dimension coherent ring Noether ring |
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