Derivations of triangular matrix rings

被引：4

作者：

Vladeva, D., I ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str Block 8, Sofia 1113, Bulgaria

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 09期

关键词：

Differential algebra; triangular matrices; derivations;

D O I：

10.1080/03081087.2022.2063786

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

this paper, the author gives a description of the derivations of UTMn(R), the ring of upper triangular matrices over an associative ring R with identity. The main result states that if D is an arbitrary derivation of the ring UTMn(R) and A is an element of UTMn(R), then there are matrices, such that the derivative D(A) is a linear combination of the values of well-known derivations of these matrices.

引用

页码：1450 / 1461

页数：12

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