• SIMPLE RIGHT ALTERNATIVE RINGS WITH (x y) z = (x z) y
Abstract
In this paper, first we prove that in a simple right alternative ring R with (x y)z = (x z)y, the square of every element of R is in the nucleus. Using this we prove that R is alternative.
Keywords
In this paper, first we prove that in a simple right alternative ring R with (x y)z = (x z)y, the square of every element of R is in the nucleus. Using this we prove that R is alternative.
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