| Malcev代数的次理想 |
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| 引用本文： | 董磊,赵丽娜,朱莹,陈俊英.Malcev代数的次理想[J].河北大学学报(自然科学版),2010,30(2). |
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| 作者姓名： | 董磊 赵丽娜 朱莹 陈俊英 |
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| 作者单位： | 1. 河北农业大学理学院,河北,保定,071001
2. 北京化工大学理学院,北京,100029 |
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| 基金项目： | 国家自然科学基金资助项目(10471143;10926187);;河北省教育厅自然科学基金资助项目(2007122);;河北农业大学基金资助项目(FSM200854) |
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| 摘 要： | 举例说明了非Lie的Malcev代数的次理想与理想是2个不同的概念.给出了Malcev代数的次理想的一些基本性质,证明了半单的Malcev代数的次理想均为理想;Malcev代数的幂等次理想均为理想;幂零的Malcev代数的子代数均为次理想;当Malcev代数的所有子代数均为次理想时,此Malcev代数是可解的.
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| 关 键 词： | Malcev代数 次理想 半单的 可解的 幂零的 |
Subideals of Malcev Algebras |
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| DONG Lei,ZHAO Li-na,ZHU Ying,CHEN Jun-ying.Subideals of Malcev Algebras[J].Journal of Hebei University (Natural Science Edition),2010,30(2). |
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| Authors: | DONG Lei ZHAO Li-na ZHU Ying CHEN Jun-ying |
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| Institution: | 1.College of Sciences;Agricultural University of Hebei;Baoding 071001;China;2.College of Sciences;Beijing University of Chemical Technology;Beijing 100029;China |
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| Abstract: | Examples are introduced to show that subideals of Malcev algebras are different from their ideals.Some basic properties of Malcev algebras'subideals are given.Propositions are shown as follows: subideals of semisimple Malcev algebras are their ideals;idempotent subideals of a Malcev algebra are its ideals;subalgebras of a nilpotent Malcev algebra are its subideals;a Malcev algebra is solvable if its subalgebras are all subideals. |
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| Keywords: | Malcev algebra subideal semisimple solvable nilpotent |
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