• Commutativity of Alternative s-unital rings with......

Y. S. Kalyan Chakravarthy*, K. Suvarna

Abstract


Let be an alternative s-Unital ring. In this paper we show that if satisfies (i) , then the set of nilpotent elements forms an ideal of with and , for all and .  Also if a subdirectly irreducible ring with 1 satisfies (i) and (ii) , then is a local ring with radical and is a finite field.  We use this to prove the commutativity of an alternative s-unital ring .


Keywords


Alternative rings, s-Unital rings, Center.

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