Communications of the
Korean Mathematical Society
CKMS
Article
ALL ARTICLES
View
Commun. Korean Math. Soc. 2018; 33(1): 37-44
Online first article January 11, 2018 Printed January 31, 2018
https://doi.org/10.4134/CKMS.c170015
Copyright © The Korean Mathematical Society.
Commutativity of Jordan ideals in 3-prime near-rings with derivations
Abdelkarim Boua
Polydisciplinary Faculty
We prove some theorems showing that a right Jordan ideal or a left Jordan ideal of a $3$-prime near-ring must be commutative if it admits a nonzero derivation acting as a homomorphism or an antihomomorphism. Moreover, we give examples proving necessity of the conditions given.\bigskip
Keywords: $3$-prime near-rings, Jordan ideal, derivations, commutativity
MSC numbers: Primary 16N60, 16W25, 16Y30
Article Tools
Stats or Metrics
Share this article on :
Related articles in CKMS
-
Some functional identities arising from derivations
2023; 38(1): 79-87
-
Relationship between the structure of a quotient ring and the behavior of certain additive mappings
2022; 37(2): 359-370
-
Structure of $3$-prime near-rings satisfying some identities
2019; 34(1): 17-26
-
On semiderivations in $3$-prime near-rings
2016; 31(3): 433-445
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd