| 初等abelian表代数几个等价条件 |
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| 引用本文： | 王志俊,王玉雷.初等abelian表代数几个等价条件[J].青岛大学学报(自然科学版),2005,18(4):29-32. |
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| 作者姓名： | 王志俊 王玉雷 |
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| 作者单位： | 青岛大学理工学院数学系,山东,青岛,266071;青岛大学理工学院数学系,山东,青岛,266071 |
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| 摘 要： | 本文利用表代数性质，从表基在给定某种运算下构成群入手，借助群的结构给出p^-1表代数的结构定理。在此基础上，利用表代数同态基本定理，分别从合成列及表基的P阶、阶表子集的数目角度刻画了初等abelian表代数。
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| 关 键 词： | 表代数 合成列 表子集 初等abelian表代数 |
| 文章编号： | 1006-1037（2005）04-0029-04 |
| 收稿时间： | 2005-08-27 |
| 修稿时间： | 2005年8月27日 |
Some Equivalent Conditions of Elementary Abelian Table Algebra |
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| WANG Zhi-jun,WANG Yu-lei.Some Equivalent Conditions of Elementary Abelian Table Algebra[J].Journal of Qingdao University(Natural Science Edition),2005,18(4):29-32. |
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| Authors: | WANG Zhi-jun WANG Yu-lei |
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| Institution: | Department. of Mathematics, College of Science, Qingdao University, Qingdao 266071, China |
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| Abstract: | By defining a new binary operation a table base makes a group, and enlightened by the structure theorem of finite ablian group the structure theorem of abelian table algebra is obtained by using the property of table algebra. As a further step,from the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra. |
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| Keywords: | table algebra composition series table subset elementary abelian table algebra |
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