• COMMUTATIVITY OF ASSOCIATIVE RINGS WITH (X, Y2) - (Y2, X), YX2Y=XY2X

B. SRIDEVI*

Abstract


In this paper we have mainly focused on some theorems related to commutativity of associative and non associative rings. We prove that if R is an associative ring with unity satisfying (x, y2) - (y2, x). x, y ϵ R, n ≥2 and xy3=y2xy x, yϵ R, n ≥2. Then R is commutative ring and also I have mainly obtained two principles for a non associative ring to be a commutative ring.


Keywords


Ring with unity, Associative ring, Non-associative ring.

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