DERIVATIONS OF UPPER-TRIANGULAR MATRIX-RINGS

被引:42
作者
COELHO, SP
MILIES, CP
机构
关键词
D O I
10.1016/0024-3795(93)90141-A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a description of the derivations in T(n)(R), the ring of upper triangular matrices over a ring R, assuming only the existence of an identity element. We show that every derivation is the sum of an inner derivation and another one induced from R.
引用
收藏
页码:263 / 267
页数:5
相关论文
共 6 条
[1]   AUTOMORPHISMS OF ALGEBRAS OF UPPER-TRIANGULAR MATRICES [J].
BARKER, GP ;
KEZLAN, TP .
ARCHIV DER MATHEMATIK, 1990, 55 (01) :38-43
[2]   AUTOMORPHISM-GROUPS OF ALGEBRAS OF TRIANGULAR MATRICES [J].
BARKER, GP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 121 :207-215
[3]   DERIVATIONS AND AUTOMORPHISMS OF NONASSOCIATIVE MATRIX ALGEBRAS [J].
BENKART, GM ;
OSBORN, JM .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 263 (02) :411-430
[4]   DERIVATIONS WITH INVERTIBLE VALUES [J].
BERGEN, J ;
HERSTEIN, IN ;
LANSKI, C .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1983, 35 (02) :300-310
[5]   AUTOMORPHISMS OF UPPER-TRIANGULAR MATRIX-RINGS [J].
JONDRUP, S .
ARCHIV DER MATHEMATIK, 1987, 49 (06) :497-502
[6]   DIFFERENTIAL POLYNOMIAL-RINGS AND MORITA EQUIVALENCE [J].
MATHIS, D .
COMMUNICATIONS IN ALGEBRA, 1982, 10 (18) :2001-2017