Commun. Korean Math. Soc. 2019; 34(1): 17-26
Online first article June 25, 2018 Printed January 31, 2019
https://doi.org/10.4134/CKMS.c170445
Copyright © The Korean Mathematical Society.
Abdelkarim Boua
Sidi Mohammed Ben Abdellah University
In this paper, we investigate commutativity of $3$-prime near-rings $\mathcal{N}$ in which $(1, \alpha)$-derivations satisfy certain algebraic identities. Some well-known results characterizing commutativity of $3$-prime near-rings have been generalized. Furthermore, we give some examples show that the restriction imposed on the hypothesis is not superfluous.
Keywords: $3$-prime near-rings, commutativity, $(1, \alpha)$-derivations, two sided $\alpha$-derivations
MSC numbers: Primary 16N60, 16W25, 16Y30
2018; 33(1): 37-44
2016; 31(3): 433-445
2024; 39(1): 79-91
2023; 38(1): 79-87
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd