Lie derivations of triangular algebras

被引:219
作者
Cheung, WS [1 ]
机构
[1] Univ Lisbon, Ctr Estruturas Lineares & Combinatorias, P-1649003 Lisbon, Portugal
关键词
triangular algebra; Lei derivation; derivation; NEST-ALGEBRAS; SKEW ELEMENTS; MATRIX-RINGS; PRIME-RINGS; INVOLUTION;
D O I
10.1080/0308108031000096993
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate Lie derivations on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every Lie derivation on such an algebra U is a sum of derivation on U and a mapping from U to its centre.
引用
收藏
页码:299 / 310
页数:12
相关论文
共 16 条
[2]   Commuting maps of triangular algebras [J].
Cheung, WS .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 63 :117-127
[3]  
CHEUNG WS, 2000, THESIS U VIC
[4]   DERIVATIONS OF NEST ALGEBRAS [J].
CHRISTENSEN, E .
MATHEMATISCHE ANNALEN, 1977, 229 (02) :155-161
[5]   DERIVATIONS OF UPPER-TRIANGULAR MATRIX-RINGS [J].
COELHO, SP ;
MILIES, CP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 187 :263-267
[6]  
Davidson K.R., 1988, PITMAN RES NOTES MAT, VVolume 191
[7]  
Donsig AP, 1996, HOUSTON J MATH, V22, P375
[8]  
DONSIG AP, 1996, HOUSTON J MATH, V22, P170
[9]  
Forrest BE, 1996, INDIANA U MATH J, V45, P441