Derivations and local derivations on strongly double triangle subspace lattice algebras

被引：9
|
作者：
Pang Yongfeng [1 ]
Yang Wei [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2010年 / 58卷 / 07期
关键词：
derivation; local derivation; strongly double triangle subspace lattice;
D O I：
10.1080/03081080903086427
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let [image omitted] be a strongly double triangle subspace lattice. It is proved that a derivation from [image omitted] into [image omitted] is quasi-spatial. It is also shown that if is derivable at zero, i.e. if (A)B + A(B) = 0 for all A and B in [image omitted] with AB = 0, then (A) = (A) + A for all [image omitted] where is a derivation and is a scalar. It is also shown that a local derivation from [image omitted] into [image omitted] is a derivation.
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页码：855 / 862
页数：8
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