Commutativity Results for Prime and Semi-prime Rings with Derivations

Abdel-Rahman H. Majeed, Mehsin J. Atteya

Abstract


The main purpose of this paper is to introduce new results concerning prime and semi-prime rings which satisfy some additional conditions; so that we obtain a prime ring that is commutative and a semi-prime ring that contains a non-zero central ideal.

Keywords


Prime ring, semi-prime ring, central ideal, derivation and commutative ring.

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