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Commun. Korean Math. Soc. 2016; 31(3): 433-445
Printed July 31, 2016
https://doi.org/10.4134/CKMS.c150155
Copyright © The Korean Mathematical Society.
On semiderivations in $3$-prime near-rings
Mohammad Ashraf and Abdelkarim Boua
Aligarh Muslim University, Equipe d'Equations Fonctionnelles et Applications (EEFA)
In the present paper, we expand the domain of work on the concept of semiderivations in $3$-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.
Keywords: $3$-prime near-rings, commutativity, semiderivations
MSC numbers: Primary 16N60, 16W25, 16Y30
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