PRIME NEAR RINGS WITH GENERALIZED JORDAN DERIVATIONS

C Jaya, Subba Reddy, S Vasantha Kumar, & Rao
2016 unpublished
In this paper we proved that be a 2, 3-torsion free prime near ring. If admits a nonzero generalized Jordan derivation such that() ⊆ , then is a commutative ring and if is a derivation and = , then =. If is 2-torsion free, then () =. Moreover satisfies = () + (), for all ∈ , then is a commutative ring.
fatcat:56tsraytevhzfhhljkf6b32n4e