| Lie color 代数的商代数 |
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| 引用本文： | 裴凤,周建华.Lie color 代数的商代数[J].东南大学学报(自然科学版),2004,34(6):865-868. |
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| 作者姓名： | 裴凤 周建华 |
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| 作者单位： | 东南大学数学系,南京,210096;东南大学数学系,南京,210096 |
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| 摘 要： | 介绍了Lie color 代数的一些性质,如素性、半素性、非退化性等.给出了Lie color 代数的商代数以及弱商代数的概念,并把Lie color 代数的素性和半素性推广到它的商代数上.利用没有非零零化子的理想对Lie color 代数的商代数进行刻画,证明了:若L是Lie color 代数Q的子代数,则Q是L的商代数当且仅当Q理想吸收于L.通过具体构造证明了每一个半素Lie color 代数都有极大商代数,并给出这个极大商代数的等价刻画.
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| 关 键 词： | Lie color代数 商代数 半素性 本质理想 齐次偏导子 |
| 文章编号： | 1001-0505(2004)06-0865-04 |
Algebras of quotients of Lie color algebras |
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| Pei Feng,Zhou Jianhua.Algebras of quotients of Lie color algebras[J].Journal of Southeast University(Natural Science Edition),2004,34(6):865-868. |
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| Authors: | Pei Feng Zhou Jianhua |
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| Abstract: | Some properties of Lie color algebra, such as semiprimeness, primeness and nondegeneracy are introduced. The notions of algebra of quotients and weak algeb ra of quotients of Lie color algebras are given. The semiprimeness and primeness are lifted from a Lie color algebra to its algebras of quotients. It is shown that if L is a subgroup of a Lie color algebra Q, then Q is an algebra of quot ients of L if and only if Q is ideally absorbed into L. For every semiprime Lie color algebra, a maximal algebra of quotients is const ructed. |
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| Keywords: | Lie color algebras algebras o f quotients semiprimeness essential ideals homogeneous partial derivations |
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