• NON ASSOCIATIVE RINGS WITH A DERIVATION
Abstract
In this Paper we show that if R is a non associative ring with a derivation d then d3n-1 (R) C and R d3n-1 (R) C. Using these it is shown that if R is a nonassociative Prime ring such that dn C, where n is a fixed positive integer, then either R is Commutative or d3n-1 = 0.
Keywords
Prime ring, k-divisible ring, center, Nucleus.
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