| 关于Г─环的强素根与强Jacobson性质 |
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| 引用本文： | 姚忠平,王顶国. 关于Г─环的强素根与强Jacobson性质[J]. 信阳师范学院学报(自然科学版), 1995, 0(1) |
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| 作者姓名： | 姚忠平 王顶国 |
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| 作者单位： | 聊城师范学院教务处，曲阜师范大学数学系 |
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| 摘 要： | 本文证明了强素根是Г－环的特殊遗传根，若Ｒ是Г─环Ｍ的右算子环且左ｄｕｏ，则Ｓ（Ｍ）＝Ｓ（Ｒ）＊＇，．强ＪａｃｏｂｓｏｎГ─环定义为其所有同态象的素根与强素根一致，建立了Г─环Ｍ、矩阵Г＿（ｎ，ｍ）─环Ｍ＿（ｍ，ｎ）及Ｍ的右算子环的强Ｊａｃｏｂｓｏｎ性质之间的关系。
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| 关 键 词： | Г─环；右算子环；矩阵Г─环；强素根；强JacobsonГ─环 |
On Strongly Prime Radical and Strongly Jacobson Property of Gamma Rings |
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| Yao Zhongping. On Strongly Prime Radical and Strongly Jacobson Property of Gamma Rings[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1995, 0(1) |
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| Authors: | Yao Zhongping |
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| Abstract: | Tke aims of the paper are to show that the strongly prime radical is a special hereditary radial and that if the right operator ring R of a P- ring M is left duo then S(m)=S(R)*. Strongly Jacobson P- rings are defined to be those P- rings in which the prime radical equals the strongly prime radial in all homornorphic images. Relationships between strongly Jacobson properties of P- ring M. P_(nm)- ring M_(mn)and the right operator ring R of M are established. |
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| Keywords: | P- ring:Right operator ring Matrix gamma ring:Strongly prime radical:Strongly Jacobscn P- ring |
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