| 二阶全矩阵代数的模代数结构 |
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| 引用本文： | 赵士银,周克元.二阶全矩阵代数的模代数结构[J].山东大学学报(理学版),2013,48(8):24-29. |
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| 作者姓名： | 赵士银 周克元 |
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| 作者单位： | 1.宿迁学院教师教育系, 江苏 宿迁 223800; 2. 扬州大学数学科学学院, 江苏 扬州 225002 |
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| 基金项目： | 国家自然科学基金资助项目(11171291)；江苏省教育厅青蓝工程资助项目；宿迁学院自然科学基金项目 |
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| 摘 要： | 研究了某些二阶矩阵及其二阶矩阵对关于弱相似关系的等价分类,讨论了二阶全矩阵代数的kC2-模代数结构和kC3-模代数结构的同构类。在同构意义下给出了二阶全矩阵代数的kS3-模代数结构,且当k为代数闭域时,得到了二阶全矩阵代数的kS3 模代数结构的同构分类。
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| 关 键 词： | 弱相似 Hopf 代数 模代数 |
| 收稿时间： | 2012-08-01 |
The module algebra structures on M2 (k) |
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| ZHAO Shi-yin
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ZHOU Ke-yuan.The module algebra structures on M2 (k)[J].Journal of Shandong University,2013,48(8):24-29. |
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| Authors: | ZHAO Shi-yin ZHOU Ke-yuan |
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| Institution: | 1. Department of Teachers Education, Suqian College, Suqian 223800, Jiangsu, China;
2. School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China |
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| Abstract: | The equivalent classifications of some matrices and pairs of matrices with respect to the weak similarity are studied, respectively. Then by applying these results, the isomorphism classifications of kC2-module algebra structures and kC3 module algebra structures on the full matrix algebra M2(k) are described. Finally, kS3 module algebra structures on the full matrix algebra M2(k) are given up to isomorphism. When k is an algebraically closed filed, the isomorphism classifications of kS3 module algebraic structures on the full matrix algebra M2(k) are obtained. |
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| Keywords: | weak similarity Hopf algebra module algebra |
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