可换环上上三角矩阵代数的三次导子  

Triple Derivations of the Algebra of Upper Triangular Matrice over a Commutative Ring

作　　者：周丽丽[1] 

机构地区：[1]晋中学院数理学院,山西晋中030619

出　　处：《晋中学院学报》2017年第3期11-14,共4页Journal of Jinzhong University

摘　　要：为进一步研究导子,本文给出了三次导子的概念,并利用其在矩阵基上的作用,将含有单位元的交换环上上三角矩阵代数的任意一个三次导子分解为内导子、倍乘映射之和,推广了导子的概念.To study the problem of derivations, this article defines the notion of triple derivation. On the basis of an algebra,this article proves that each triple derivation of the algebra of upper triangular matrice can be written as the sum of an innerderivation and a timing mapping, which generalizes the notion of derivations to a more general case.

关 键 词：上三角矩阵代数 导子三次导子 可换环 

分 类 号：O152[理学—数学]