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.

引用

页码：855 / 862

页数：8

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