文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF HIGHER DERIVATIONS AND JORDAN HIGHER DERIVATIONS ON CSL ALGEBRAS

作者：Li, Jiankui[1];Guo, Jianbin[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2011

卷号：83

期号：3

起止页码：486

外文期刊名：BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000291191700015)】；

基金：This work is supported by NSF of China.

语种：英文

外文关键词：CSL algebra; higher derivable linear mapping; higher derivation; Jordan higher derivation

摘要：Let L be a commutative subspace lattice and A = Alg L. It is shown that every Jordan higher derivation from A into itself is a higher derivation. We say that D = (delta(i))(i epsilon N) is a higher derivable linear mapping at G if delta(n)(AB) = Sigma(i+ j=n) delta i(A)delta(j) (B) for all n epsilon N and A. B epsilon A with AB = G. We also prove that if D = (delta(i))(i epsilon N) is a bounded higher derivable linear mapping at 0 from A into itself and delta(n)(1)= 0 for all n >= 1, or D = (delta(i))(i epsilon N) is a higher derivable linear mapping at I from A into itself, then D = (delta(i))(i epsilon N) is a higher derivation.