| 关于p-幂零限制李超代数 |
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| 引用本文： | 陈良云,孟道骥.关于p-幂零限制李超代数[J].数学进展,2005,34(6):731-737. |
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| 作者姓名： | 陈良云 孟道骥 |
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| 作者单位： | 1. 东北师范大学数学系,长春,吉林,130024;南开大学数学系,天津,300071
2. 南开大学数学系,天津,300071 |
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| 基金项目： | Supported by National Natural Science Foundation of China （No. 10271076） and Young Foundation of Northeast Normal University（No. 111494027）. Acknowledgement The first author would like to take the opportunity to express my deep gratitude to professor Yongzheng Zhang for all of his helps and encouragements. |
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| 摘 要： | 我们讨论了p-幂零限制李超代数的一些性质，分别给出了p-幂零和幂零限制李超代数的几个充分必要条件，并讨论了幂零与p-幂零之间的关系．最后，证明了幂零限制李超代数的一些性质．
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| 关 键 词： | 限制李超代数 p-幂零元 p-幂零理想 p-幂零根基 |
| 文章编号： | 1000-0917（2005）06-0731-07 |
| 收稿时间： | 2003-07-15 |
| 修稿时间： | 2003年7月15日 |
On p-nilpotent Restricted Lie Superalgebras |
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| CHEN Liang-yun,MENG Dao-ji.On p-nilpotent Restricted Lie Superalgebras[J].Advances in Mathematics,2005,34(6):731-737. |
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| Authors: | CHEN Liang-yun MENG Dao-ji |
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| Institution: | 1. Department of Mathematics, Northeast Normal University, Changchun, Jilin, 130024, P. R. China; 2. Department of Mathematics, Nankai University, Tianjin, 300071, P. R. China |
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| Abstract: | In the present paper, we obtain some properties of p-nilpotent restricted Lie superalgebras, give some necessary and sufficient conditions on p-nilpotent restricted Lie superalgebras and nilpotent restricted Lie superalgebras as well as discuss the relations to nilpotency restricted Lie superalgebras, in additior, we announce and prove some results on nilpotent restricted Lie superalgebras. |
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| Keywords: | restricted Lie superalgebras p-nilpotent elements p-nilpotent ideals p-nilpotent radical |
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