• SIMPLE RIGHT ALTERNATIVE RINGS WITH (x y) z = (x z) y

D. Bharath, D. Eswara rao*, D. Sarada, M. Muni rathnam

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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