Associators in the Nucleus of Antiflexible Rings
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 3, Issue 2
Abstract
In this paper, first we prove that if R is a semi prime third power associative ring of char ≠ 2 then either N = C or R is associative. Using this result we prove that if R is a simple third power associative antiflexible ring of char ≠ 2,3 satisfying (x, x, y) = k (y, x, x) for all x,y ϵ R, k ≠ 0 and 3 + 2k + 1 ≠ 0 then either R is associative or nucleus equals center.
Authors and Affiliations
DR. D. Bharathi
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