SOLVABILITY OF A COMMUTATIVE ALGEBRA WHICH SATISFIES (x2)2=0

被引：3

作者：

Guzzo, H., Jr. ^{[1
]}

Behn, A. ^{[2
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05315970 Sao Paulo, Brazil

[2] Univ Chile, Dept Matemat, Santiago, Chile

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 01期

关键词：

Commutative algebra; Solvability;

D O I：

10.1080/00927872.2012.716118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We studied the solvability of the algebra which satisfies the polynomial identity (x(2))(2)=0. We believe that, if A is a finite dimensional commutative algebra over a field F of characteristic not 2 which satisfies (x(2))(2)=0 for all xA, then A is solvable. In this article we proved this when dim(F) A <= 7.

引用

页码：417 / 422

页数：6

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