Jordan higher all-derivable points in triangular algebras

2011/07/16 by Jun Zhu, Jinping Zhao, Zhu, Jun +1
Mathematics · Medicine · #16W25 #47B47 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Restless Legs Syndrome Research #math.OA #msc:16W25 #msc:47B47

paper · pdf · doi:10.48550/arxiv.1107.3190

15 pages

arxiv created 2011/07/16 · openalex publication_date 2011/07/16 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let T be a triangular algebra. We say that D=\D_n: n∈ N\⊆ L(T) is a Jordan higher derivable mapping at G if D_n(ST+TS)=∑_i+j=n(D_i(S)D_j(T)+D_i(T)D_j(S)) for any S,T∈ T with ST=G. An element G∈ T is called a Jordan higher all-derivable point of T if every Jordan higher derivable linear mapping D=\D_n\_{n∈ N} at G is a higher derivation. In this paper, under some mild conditions on T, we prove that some elements of T are Jordan higher all-derivable points. This extends some results in [6] to the case of Jordan higher derivations.

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