What can be expected from a cubic derivation on finite dimensional algebras?

被引：2
作者：
Hosseini A. [1 ]
机构：
[1] Department of Mathematics, Kashmar Higher Education Institute, Kashmar
来源：
Arabian Journal of Mathematics | 2017年 / 6卷 / 2期
关键词：
47B47; 47B48;
D O I：
10.1007/s40065-017-0168-2
中图分类号：
学科分类号：
摘要：
In this paper, we prove that every rank one cubic derivation on a unital integral domain is identically zero. From this conclusion, under certain conditions, we achieve that the image of a cubic derivation on a commutative algebra is contained in the Jacobson radical of algebra. As the main result of the current study, we prove that every cubic derivation on a finite dimensional algebra, under some circumstances, is identically zero. © 2017, The Author(s).
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页码：75 / 78
页数：3
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