Abstract
It is proved that if a centralizer near-ring $N$ has a nonzero derivation, then $N$ is a near-field.
Citation
Y. Fong. C.-S. Wang. "On Derivations of Centralizer Near-rings." Taiwanese J. Math. 15 (4) 1437 - 1446, 2011. https://doi.org/10.11650/twjm/1500406355
Information
Published: 2011
First available in Project Euclid: 18 July 2017
zbMATH: 1266.16051
MathSciNet: MR2848965
Digital Object Identifier: 10.11650/twjm/1500406355
Subjects:
Primary:
16Y30
Keywords:
centralizer near-ring
,
derivation
Rights: Copyright © 2011 The Mathematical Society of the Republic of China