| e-凝聚环 |
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| 引用本文： | 乔虎生,史鹏军.e-凝聚环[J].西北师范大学学报,2011,47(2). |
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| 作者姓名： | 乔虎生 史鹏军 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10901129) |
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| 摘 要： | 称环R是左e-凝聚环,如果R的任意有限生成本质左理想是有限表示的.用e-内射模和e-平坦模刻画了e-凝聚环,推广了凝聚环的若干经典结论.
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| 关 键 词： | e-凝聚环 e-内射模 e-平坦模 示性模 |
On e-coherent rings |
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| QIAO Hu-sheng,SHI-Peng-jun.On e-coherent rings[J].Journal of Northwest Normal University Natural Science (Bimonthly),2011,47(2). |
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| Authors: | QIAO Hu-sheng SHI-Peng-jun |
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| Institution: | QIAO Hu-sheng,SHI-Peng-jun (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | A ring R is called left e-coherent in case each finitely generated essential left ideal of R is finitely presented.Some equivalent characterizations of e-coherent rings are given using e-injective and e-flat modules,some classical results of coherent rings are generalized. |
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| Keywords: | e-coherent ring e-injective module e-flat module character module |
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