| 投射根和亚投射模 |
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| 引用本文： | 班秀和.投射根和亚投射模[J].数学杂志,2012,32(5):867-870. |
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| 作者姓名： | 班秀和 |
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| 作者单位： | 广西师范学院数学科学学院,广西南宁,530001 |
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| 基金项目： | 国家自然科学基金资助(10771095);广西科学基金资助(0832107;0991102;2010-013118;2010-013048);广西教育厅科学研究基金资助(200707LX233;200911MS145;200911LX275) |
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| 摘 要： | 本文研究了投射根和亚投射模的性质.利用Noether环、Noether模的性质给出了亚投射模、投射根是投射的条件,环的投射根为零、幂等的条件.最后,给出了一些例子.本文的大部分结果是陈焕艮等人的一系列主要结果的推广.
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| 关 键 词： | 投射根 亚投射模 投射模 内射模 |
PROJECTIVE RADICALS AND META-PROJECTIVE MODULES |
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| BAN Xiu-he.PROJECTIVE RADICALS AND META-PROJECTIVE MODULES[J].Journal of Mathematics,2012,32(5):867-870. |
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| Authors: | BAN Xiu-he |
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| Institution: | BAN Xiu-he(School of Mathematical Sciences,Guangxi Teachers Education University,Nanning 530001,China) |
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| Abstract: | In this paper,we study properties of projective radicals and meta-projective modules.By using some properties of Noetherian rings and Noetherian modules,some conditions for meta-projective modules,projective radicals to be projective are given,and some conditions for the projective radical of a ring to be zero,nilpotent are given.Finally,we give some examples.Most results in this paper are the generalizations of the main results by Chen Huangen,et al.. |
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| Keywords: | projective radical meta-projective module projective module injective module |
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