| PI-代数的根扩张 |
| |
| 引用本文： | 游松发.PI-代数的根扩张[J].湖北大学学报(自然科学版),2011,33(2):227-229. |
| |
| 作者姓名： | 游松发 |
| |
| 作者单位： | 湖北大学数学与计算机科学学院,湖北武汉,430062 |
| |
| 摘 要： | 研究PI-代数的根扩张所满足的多项式恒等式,找到了一类满足标准多项式恒等式的根扩张代数.得到下面定理:令A满足d次多项式恒等式f(x1,…,xd)=0,R是A的根扩张,且Nil(R) =0,则R满足标准多项式恒等式Sd(x1,…,xd)=0.
|
| 关 键 词： | 根扩张 标准多项式恒等式 诣零根 Jacobson根 半素 |
Radical extensions of PI-algebras |
| |
| YOU Songfa.Radical extensions of PI-algebras[J].Journal of Hubei University(Natural Science Edition),2011,33(2):227-229. |
| |
| Authors: | YOU Songfa |
| |
| Institution: | YOU Songfa(School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
| |
| Abstract: | Some polynomials of radical extensions on PI-algebras were investigated,and some radical extension algebras satisfying the standard polynomial identity were obtained,The follow theory was got.Let R be an algebra having no nonzero nil ideals and radical over a subalgebra A satisfying an identity f（x1,…,xd）=0 of degree d,and then R satisfied the stamdard polynomial identity Sd（x1,…,xd）=0. |
| |
| Keywords: | radical extension standard polynomial idedtity Nil radical Jacobson radical semiprime |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
