• SEMIPRIME (-1, 1) RINGS
Abstract
In this paper, we show that in a (-1,1) ring R, every associator commutes with every element of R, that is ((R,R,R),R)=0 and (R,R (R,R,R))=0. Using these we prove that a 2- and 3- divisible semiprime (-1, 1) ring R is associative.
Keywords
Semiprime ring, divisible ring, (-1, 1) ring.
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