Abstract
In this paper, we study 3-prime near-rings with left generalized semiderivations that satisfy specific diferential identities. Consequently, some well-known results from the literature have been generalized. We also show how the constraints placed on the hypothesis of various results are really not redundant.
Publisher
Sociedade Paranaense de Matemática
Reference8 articles.
1. Ali A., Boua A. and Ali F., Semigroup ideals and generalized semiderivations of prime near rings, Bol. Soc. Paran. Mat., (3s.) v. 37 (4), 25–45 (2019).
2. Ashraf M. and Siddeeque M. A, Generalized derivation on semigroup ideals and commutativity of prime near-rings, Rend. Sem. Mat. Univ. Pol. Torino Vol. 73/2, 3-4, 217 - 225 (2015).
3. Bell H.E., On derivations in near-rings II, In: Near-Rings, Near-Fields and KLoops (Hamburg, 1995), Math. Appl. 426, Kluwer Acad. Publ., Dordrecht, 1997.
4. Boua, A. and Oukhtite, L., Semiderivations satisfying certain algebraic identities on prime near-rings, Asian-Eur. J. Math., 6(3), 1350050, 8p (2013).
5. Boua, A., Oukhtite, L. and Raji, A., Semigruop ideals with semiderivations in 3-prime near-rings, Palest. J. Math., 3, 438-444 (2014).