| Ideals of Classical Linear Lie Superalgebra P（n） over Commutative Rings |
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| 引用本文： | 孙丽萍,张永正.Ideals of Classical Linear Lie Superalgebra P（n） over Commutative Rings[J].西南交通大学学报(英文版),2007,15(3):257-260. |
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| 作者姓名： | 孙丽萍 张永正 |
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| 作者单位： | Department of Mathematics Heihe College，School of Mathematics and Statistics，Northeast Normal University，Heihe 164300 China，Changchun 130024，China |
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| 摘 要： | Let R be a commutative ring with identity 1. The relations between the ideals of Lie superalgebra P(n) and the ideals of R are discussed by studying the basis, center and order ideal of P(n). All ideals of P(n) are proved to be minimal and standard.
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| 关 键 词： | 可交换环 古典线性李代数 标准理想 超代数 |
| 文章编号： | 1005-2429（2007）03-0257-04 |
| 修稿时间： | 2007-04-02 |
Ideals of Classical Linear Lie Superalgebra P(n) over Commutative Rings |
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| SUN Li-ping,ZHANG Yong-zheng.Ideals of Classical Linear Lie Superalgebra P(n) over Commutative Rings[J].Journal of Southwest Jiaotong University,2007,15(3):257-260. |
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| Authors: | SUN Li-ping ZHANG Yong-zheng |
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| Institution: | 1. Department of Mathematics, Heihe College, Heihe 164300, China
2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | Let R be a commutative ring with identity 1. The relations between the ideals of Lie superalgebra P(n) and the ideals of R are discussed by studying the basis, center and order ideal of P(n). All ideals of P(n) are proved to be minimal and standard. |
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| Keywords: | Commutative ring Classical linear Lie superalgebra Ideal Standard ideal |
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