Automorphisms of prime rings that acts as derivations or anti-derivations

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DOI:

https://doi.org/10.26637/MJM0701/0003

Abstract

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 identity

Mathematics Subject Classification:

Mathematics
  • Gurninder S. Sandhu Department of Mathematics, Patel Memorial National College, Rajpura, Punjab-140401, India.
  • Pages: 11-14
  • Date Published: 01-01-2019
  • Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)

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Published

01-01-2019

How to Cite

Gurninder S. Sandhu. “Automorphisms of Prime Rings That Acts As Derivations or Anti-Derivations”. Malaya Journal of Matematik, vol. 7, no. 01, Jan. 2019, pp. 11-14, doi:10.26637/MJM0701/0003.