| 一般线性李代数的极大理想 |
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| 引用本文： | 陈丙凯,卞鸿亚,关琦.一般线性李代数的极大理想[J].淮阴师范学院学报(自然科学版),2011,10(5):387-392. |
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| 作者姓名： | 陈丙凯 卞鸿亚 关琦 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221008 |
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| 摘 要： | 假设R是含幺可换环且在2和n处可逆,gln（R）是R上的所有n×n阶矩阵上的一般线性李代数.本文首先构造出gln（R）的一般理想,从中找出了两类极大理想并且用同构理论证明了gln（R）只有这两类极大理想.gln（R）的极大理想分类完全了.
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| 关 键 词： | 一般线性李代数 极大理想 含幺可换环 |
Maximal Ideals of the General Linear Lie Algebra |
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| CHEN Bing-kai,BIAN Hong-ya,GUAN Qi.Maximal Ideals of the General Linear Lie Algebra[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2011,10(5):387-392. |
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| Authors: | CHEN Bing-kai BIAN Hong-ya GUAN Qi |
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| Institution: | (College of Science,China University of Mining and Technology,Xuzhou Jiangsu 221008,China) |
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| Abstract: | Let gln(R)be the general linear Lie algebra of all n×n matrices over a unitary commutative ring R with 2 and n invertible.First This paper constructs the general ideal of gln(R),finds two kinds of maximal ideals from the general ideal of gln(R)and proofs gln(R) only have these two types of maximal ideals with the isomorphism theory.The maximal ideals of gln(R)are classified completely. |
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| Keywords: | general linear Lie algebras maximal ideals unitary commutative rings |
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