Abstract
Let 𝑁 be a semiprime near-ring with 𝑑 derivations of 𝑁. Derivations are referred to group additive endomorphism with multiplication operating of 𝑑(𝑥. 𝑦)= 𝑥𝑑(𝑦)+ 𝑑(𝑥)𝑦 = 0� for each 𝑥, 𝑦 ∈ 𝑁. This paper gives sufficient conditions on a subset near-ring order derivation of each of its members is equal to 0. Let N be a semiprime near-ring and A�N such that 0 ∈ 𝐴,𝐴. 𝑁 ⊆ 𝐴 and d derivation of N. The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on then d(A) = 0
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
