- International Electronic Journal of Algebra
- Volume:15 Issue:15
- NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS
NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS
Authors : Chunhui XUE, Runling AN, Huiyuan ZHANG
Pages : 56-65
Doi:10.24330/ieja.266237
View : 102 | Download : 11
Publication Date : 2014-06-01
Article Type : Research Paper
Abstract :Let T be a triangular ring. We say that a family of maps δ ={δn, δn : T → T , n ∈ N} is a Jordan higher derivable map insert ignore into journalissuearticles values(without assumption of additivity or continuity); if δninsert ignore into journalissuearticles values(AB + BA); = Pi+j=n[δiinsert ignore into journalissuearticles values(A);δj insert ignore into journalissuearticles values(B); +δj insert ignore into journalissuearticles values(B);δiinsert ignore into journalissuearticles values(A);] for all A, B ∈ T . In this paper, we show that every Jordan higher derivable map on a triangular ring is a higher derivation. As its application, we get that every Jordan higher derivable map on an irreducible CDCSL algebra or a nest algebra is a higher derivation, and new characterizations of higher derivations on these algebras are obtained.Keywords : Higher derivation, triangular rings, CDCSL algebras
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