- 期刊
- OpenAccess
(θ,φ)-Derivations as Homomorphisms or as Anti-Homomorphisms on a Near Ring
並列摘要
Let N be a near ring. An additive mapping d: N→N is said to be a (θ,φ)-derivation on N if there exist mappings (θ,φ): N→N such that d(xy)=θ(x)d(y)+d(x)φ(y) holds for all x, y ∊ N. In the context of 3-prime and 3-semiprime nearrings, we show that for suitably-restricted θ and φ, there exist no nonzero (θ,φ)-derivations which act as a homomorphism or an anti-homomorphism on N or a nonzero semigroup ideal of N.
並列關鍵字
無資料延伸閱讀
- Öztürk, M. A., & Yazarli, H. (2013). Homomorphism theorems in Subtraction Algebra. Tamkang Journal of Mathematics, 44(4), 365-375. https://doi.org/10.5556/j.tkjm.44.2013.978
- Cho, Y. J., Saadati, R., & Vahidi, J. (2012). Approximation of Homomorphisms and Derivations on non-Archimedean Lie C^∗-Algebras via Fixed Point Method. Discrete Dynamics in Nature and Society, 2012(), 1157-1165-080. https://doi.org/10.1155/2012/373904
- VUKMAN, J. (2005). IDENTITIES WITH DERIVATIONS AND AUTOMORPHISMS ON SEMIPRIME RINGS. International Journal of Mathematics and Mathematical Sciences, 2005(), 1031-1038-077. https://doi.org/10.1155/IJMMS.2005.1031
- Roh, J., & Chang, I. S. (2013). On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation. Abstract and Applied Analysis, 2013(), 424-431-146. https://doi.org/10.1155/2013/192845
- Gordji, M. E. (2010). Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras. Abstract and Applied Analysis, (2010), 918-929. https://doi.org/10.1155/2010/393247