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Associators in the Nucleus of Antiflexible Rings

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.3, No. 2)

Publication Date:

Authors : ; ;

Page : 1007-1011

Keywords : Associator; commutator; nucleus; center; simple ring; prime ring.;

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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 ? R, k ≠ 0 and 3 + 2k + 1 ≠ 0 then either R is associative or nucleus equals center.

Last modified: 2014-09-05 21:56:06