| 模自同态环的理想格与正规根 |
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| 引用本文： | 王俊民,彭联刚.模自同态环的理想格与正规根[J].数学研究与评论,1996,16(4):583-588. |
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| 作者姓名： | 王俊民 彭联刚 |
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| 作者单位： | 云南大学数学系;云南大学数学系 |
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| 摘 要： | 设RＰ是环Ｒ上的左模．记P*= Hom R(P , R ) , J = P P*, S0= P*P．本文讨论了Ｊ与Ｓ的双零化理想格之间的关系，以及Ｒ，Ｊ，Ｓ0和ＥｎｄRＰ的正规根之间的关系．
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| 关 键 词： | 模自同态环 双零化理想 正规概 |
| 收稿时间： | 1993/12/24 0:00:00 |
Lattice of Ideals and Normal Radicals of Endomorphism Rings of Modules |
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| Wang Junmin and Pen Liangang.Lattice of Ideals and Normal Radicals of Endomorphism Rings of Modules[J].Journal of Mathematical Research and Exposition,1996,16(4):583-588. |
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| Authors: | Wang Junmin and Pen Liangang |
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| Institution: | Dept. of Math. , Yunnan University;Dept. of Math. , Yunnan University |
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| Abstract: | Let RP be a left R-module and P* the dualmodule. In this paper, we obtain that there exists an isomorphism between lattices of bi-annihilator ideals of PP* and P*P , and in this isomorphism, normal radicals correspond to normal radicals. |
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| Keywords: | endomorphism rings of modules bi-annihilator ideal normal radical |
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