期刊
COMMUNICATIONS IN ALGEBRA
卷 48, 期 9, 页码 3651-3660出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2020.1743299
关键词
Derivation; generalized matrix algebra; Lie derivation; Lie triple derivation
类别
资金
- MATRICS research grant from SERB (DST) [MTR/2017/000033]
Let R be a commutative ring with unity and G = G(A, M, N, B) be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation L on a generalized matrix algebra G and prove that under certain appropriate assumptions L on G is proper, i.e., L = delta + chi, where delta is a derivation on G and chi is a mapping from G into its center Z(G) which annihilates all second commutators in G, i.e., rho([[x, y], z]) = 0 for all x, y, z is an element of G.
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