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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 63, Issue 3


Existence of derivations on near-rings

Ahmed Kamal / Khalid Al-Shaalan
Published Online: 2013-06-28 | DOI: https://doi.org/10.2478/s12175-013-0107-4


We obtain conditions on (R,+) which force that the zero map is the only derivation on a zero-symmetric near-ring R. Throughout the paper we construct several new examples of near-rings which are not rings admitting non-zero derivations, non-zero (σ, σ)-derivations and non-zero (1, σ)-derivations.

MSC: Primary 16W25, 16Y30

Keywords: near-ring; derivation; inner derivation; n-distributive near-ring; 3-prime nearring

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About the article

Published Online: 2013-06-28

Published in Print: 2013-06-01

Citation Information: Mathematica Slovaca, Volume 63, Issue 3, Pages 431–448, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-013-0107-4.

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© 2013 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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