| 有限生成模自同态环的一种刻画 |
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| 引用本文： | 王飞飞,郑清月,赵燕波,陈淼森.有限生成模自同态环的一种刻画[J].浙江师范大学学报(自然科学版),2013(2):150-154. |
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| 作者姓名： | 王飞飞 郑清月 赵燕波 陈淼森 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华321004 |
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| 基金项目： | 国家大学生创新创业活动计划资助项目（201210345010） |
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| 摘 要： | 定义了矩阵环的零化子,对有限生成模的自同态环进行了刻画.证明了有限生成左R-模的自同态环是环R上矩阵环的一个子环的同态像,并利用此结果给出了代数学中一些经典结论的新的证明.
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| 关 键 词： | 零化子 有限生成模 自同态环 矩阵环 |
A characterization of endomorphism rings of finitely generated modules |
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| WANG Feifei,ZHENG Qingyue,ZHAO Yanbo,CHEN Miaosen.A characterization of endomorphism rings of finitely generated modules[J].Journal of Zhejiang Normal University Natural Sciences,2013(2):150-154. |
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| Authors: | WANG Feifei ZHENG Qingyue ZHAO Yanbo CHEN Miaosen |
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| Institution: | (College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | It was defined annihilators of matrix rings and characterized endomorphism rings of finitely generated modules.The endomorphism ring of a finitely generated left R-module was proved to be the homomorphic image of a subring of the matrix ring over R,and a new proof to some classical results in algebra was given. |
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| Keywords: | annihilator finitely generated module endomorphism ring matrix ring |
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