| 四元数环及其若干性质 |
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| 引用本文： | 雷天德,黄文平.四元数环及其若干性质[J].陕西师范大学学报,1989(2). |
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| 作者姓名： | 雷天德 黄文平 |
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| 作者单位： | 陕西师范大学数学系，陕西师范大学数学系 |
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| 摘 要： | 设R是环,Q(R)是R上的四元数环,分别用J(R)与G(R)表示R的Jacobson根与Brown-Mceoy根,与表示R的左理想格与右理想格.本文证明了以下结果: Q(J(R))=J(Q(R)),Q(G(R))=G(Q(R)),Q,Q.
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| 关 键 词： | 四元数环 理想格 Jacobson根 Brown-Mccoy根 |
Quaternion Rings and some of Their Properties |
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| Lei Tiande Huang Wenping.Quaternion Rings and some of Their Properties[J].Journal of Shaanxi Normal University: Nat Sci Ed,1989(2). |
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| Authors: | Lei Tiande Huang Wenping |
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| Institution: | Department of Mathematics |
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| Abstract: | Let R be a ring and Q(R) be the quaternion ring on the ring R. In this paper the following results are proved: Q(J(R))=J(Q(R)), Q(G(R))=G(Q(R)), Q,Q.Here J(R), G(R), and denote the Jacobson radical and Brown-Mccoy radical, lattice of the left ideals of R and the lattice of right ideals of R respectively. |
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| Keywords: | quaternion rings Lattice of ideals Jacobson radical Brown-Mccoy radical |
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