| 分次单环的结构 |
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| 引用本文： | 朱彬.分次单环的结构[J].东北数学,2003,19(3):231-234. |
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| 作者姓名： | 朱彬 |
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| 作者单位： | Department of |
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| 基金项目： | The NNSF (10001017) of China. |
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| 摘 要： | A characterization of gr-simple rings is given by using the notion of componentwise-dense subrings of a full matrix ring over a division ring. As a consequence, any G-graded full matrix ring over a division ring is isomorphic to a dense subring of a full matrix ring with a good G-grading. Some conditions for a grading of a full matrix ring to be isomorphic to a good one are given, which generalize some results in: Dascascu, S., Lon, B., Nastasescu, C. and Montes, J. R., Group gradings on full matrix rings, J. Algebra, 220(1999), 709-728.
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| 关 键 词： | 分次单环 全阵环 优势级配 稠环 同构 结构 乘法群 分量方式稠密 |
The Structure of gr-simple Rings |
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| ZHU Bin.The Structure of gr-simple Rings[J].Northeastern Mathematical Journal,2003,19(3):231-234. |
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| Authors: | ZHU Bin |
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| Abstract: | A characterization of gr-simple rings is given by using the notion of componentwise-dense subrings of a full matrix ring over a division ring. As a consequence, any G-graded full matrix ring over a division ring is isomorphic to a dense subring of a full matrix ring with a good G-grading. Some conditions for a grading of a full matrix ring to be isomorphic to a good one are given, which generalize some results in: Dascascu, S., Lon, B., Nastasescu, C. and Montes, J. R., Group gradings on full matrix rings, J. Algebra, 220(1999), 709-728. |
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| Keywords: | gr-simple ring full matrix ring good grading |
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