| 四元多项式代数的判别式 |
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| 引用本文： | 朱云迪,王艳华.四元多项式代数的判别式[J].吉林大学学报(理学版),2019,57(5):1131-1135. |
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| 作者姓名： | 朱云迪 王艳华 |
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| 作者单位： | 上海财经大学数学学院,上海,200433;上海财经大学数学学院,上海,200433 |
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| 摘 要： | 通过分析域k上n元多项式代数在其不变子环上基的性质, 并对n阶对称群做相应的划分, 得到四元多项式代数的判别式.
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| 关 键 词： | 判别式 多项式代数 不变子环 基 对称群 |
| 收稿时间： | 2018-12-07 |
Discriminant of Polynomial Algebra Generated by Four Elements |
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| ZHU Yundi,WANG Yanhua.Discriminant of Polynomial Algebra Generated by Four Elements[J].Journal of Jilin University: Sci Ed,2019,57(5):1131-1135. |
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| Authors: | ZHU Yundi WANG Yanhua |
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| Institution: | School of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China
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| Abstract: | By analyzing the properties of the basis of k-polynomial algebra generated by n elements over their invariant subring, and dividing the symmetric group with n letters, we obtained the discriminant of polynomial algebra generated by four elements. |
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| Keywords: | discriminant polynomial algebra invariant subring basis symmetric group |
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