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Mathematics: RIGHT (σ,τ)-DERIVATIONS ON LEFT IDEALS

 

   

RIGHT (σ,τ)-DERIVATIONS ON LEFT IDEALS

Asawer D. Hamdi

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Department of Mathematics , College of Science , University Of Baghdad. Baghdad-Iraq

Abstract

 

Let R be a prime ring and I a nonzero left Ideal of R which is a semi prime as a ring.  For a right (σ,τ) – derivations δ:R → R, we prove the following results:

(1) If δ acts as a homomorphism on I, then δ= 0 on R.

(2) If δ acts as an anti- homomorphism on I, then either δ = 0 on R or I Z(R).

Keywords

 

:derivation,right derivation, (σ,τ)- derivation, right (σ,τ)-derivation

المشتقات(σ,t) اليمنى على المثاليات اليسرى

اساور دريد حمدي

قسم الرياضيات ، كلية العلوم ، جامعة بغداد. بغداد-العراق

الخلاصة

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