On Generalized Jordan Triple (σ,τ)-Higher Derivations in Prime Rings

Author:

Ashraf Mohammad1,Khan Almas1

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Abstract

Let R be a ring and let U be a Lie ideal of R. Suppose that σ,τ are endomorphisms of R, and is the set of all nonnegative integers. A family F={fn}n of mappings fn:RR is said to be a generalized (σ,τ)-higher derivation (resp., generalized Jordan triple (σ,τ)-higher derivation) of R if there exists a (σ,τ)-higher derivation D={dn}n of R such that f0=IR, the identity map on R, fn(a+b)=fn(a)+fn(b), and fn(ab)=i+j=nfi(σn-i(a))dj(τn-j(b)) (resp., fn(aba)=i+j+k=nfi(σn-i(a))dj(σkτi(b))dk(τn-k(a))) hold for all a,bR and for every n. If the above conditions hold for all a,bU, then F is said to be a generalized (σ,τ)-higher derivation (resp., generalized Jordan triple (σ,τ)-higher derivation) of U into R. In the present paper it is shown that if U is a noncentral square closed Lie ideal of a prime ring R of characteristic different from two, then every generalized Jordan triple (σ,τ)-higher derivation of U into R is a generalized (σ,τ)-higher derivation of U into R.

Publisher

Hindawi Limited

Subject

Industrial and Manufacturing Engineering,Polymers and Plastics,History,Business and International Management

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Jordan Triple Higher Derivable Mappings on Rings;Mediterranean Journal of Mathematics;2015-07-17

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