| E-Baer模 |
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| 引用本文： | 王利民,陈宁茹.E-Baer模[J].西北师范大学学报,2010,46(1):14-16. |
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| 作者姓名： | 王利民 陈宁茹 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 引入了E-Baer模的概念,并探讨了E-Baer模与Baer模的关系及E-Baer模的性质.证明了K-非奇异的E-Baer模是Baer模,同时证明了E-Baer模关于直和因子封闭,在一定条件下关于直和封闭;另外,E-Baer模的自同态环是右E-Baer模环.
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| 关 键 词： | E—Baer模（环） Baer模（环） 自同态环 零化子 |
E-Baer modules |
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| WANG Li-min,CHEN Ning-ru.E-Baer modules[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010,46(1):14-16. |
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| Authors: | WANG Li-min CHEN Ning-ru |
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| Institution: | WANG Li-min,CHEN Ning-ru(College of Mathematics , Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | The concept of E-Baer modules is introduced,and the relations between E-Baer and Baer modules are studied.It is shown that K-nonsingular E-Baer modules are Baer modules,E-Baer modules are closed under direct summands,under some conditions they are closed under direct sums,and the endomorphism rings of E-Baer modules are right E-Baer rings. |
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| Keywords: | E-Baer module(ring) Baer module(ring) endomorphism ring annihilator |
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