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On the commutativity of torsion free rings
Published online by Cambridge University Press: 17 April 2009
Abstract
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If R is (n(n−1)/2)-torsion free ring with 1 and satisfies the identity (xy)n = xnyn, then R is commutative provided that n = 4k.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 289 - 293
- Copyright
- Copyright © Australian Mathematical Society 1984
References
[1]Abu-Khuzam, H., “A commutativity theorem for rings”. Math. Japon. 25 (1980), 593–595.Google Scholar
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[4]Kobayashi, Y., “Some polynomial identities and commutativity of rings, I”, Proc. 14th Sympos. Ring Theory, 1981, 1–8 (Matsumoto, Japan, 1981).Google Scholar
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