ADDITIVE MAPS ON RANK K BIVECTORS

被引：0

作者：

Chooi, Wai Leong ^{[1
]}

Kwa, Kiam Heong ^{[1
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2020年 / 36卷

关键词：

Additive maps; Second exterior powers; Bivectors; Ranks; Alternate matrices; COMMUTING MAPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let u and v be linear spaces over fields F and K, respectively, such that dim u = n >= 2 and vertical bar F vertical bar >= 3. Let Lambda(2) u be the second exterior power of u. Fixing an even integer k satisfying n-1/2 <= k <= n, it is shown that a map psi: Lambda(2) u -> Lambda(2) v satisfies psi(u + v) = psi(u) + psi(v) for all rank k bivectors u, v is an element of Lambda(2) u if and only if psi is an additive map. Examples showing the indispensability of the assumption on k are given.

引用

页码：847 / 856

页数：10

共 8 条

[1] CENTRALIZING MAPPINGS AND DERIVATIONS IN PRIME-RINGS [J].