On Multiplicative Generalized Derivations in 3-Prime Near-Rings
Abstract
In the present paper, we prove that 3-prime near-ring N is commutative ring, if any one of the.following conditions are satisfied: (i.) f (N) subset of Z, (ii) f ([x,y]) = 0, (iii) f ([x,y]) = +/-tau ([x,y]), (iv) f ([x,y]) = +/-tau (xoy), (v) f ([x,y]) = tau([d(x), y]), for all x, y is an element of N, where f is a nonzero left multiplicative generalized (sigma, tau)-derivation of N associated with a multiplicative (sigma, tau)-derivation d.
Source
6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017)Volume
1926Collections
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