Automorphisms of prime rings that acts as derivations or anti-derivations
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DOI:
https://doi.org/10.26637/MJM0701/0003Abstract
A well-known result of Bell and Kappe [ 5 ] states that there exists no non-zero derivation of a prime ring that acts as a homomorphism or as an anti-homomorphism. In opposite sense one may think of the endomorphisms of prime rings that act as derivations or anti-derivations. In the present paper, it is proved that there exists no automorphism of a prime ring that acts as a derivation or an anti-derivation.
Keywords:
Automorphism, Prime ring, Derivation, Generalized polynomial identityMathematics Subject Classification:
Mathematics- Pages: 11-14
- Date Published: 01-01-2019
- Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)
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