Almost Jordan rings
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- by Irvin Roy Hentzel and Luiz Antonio Peresi PDF
- Proc. Amer. Math. Soc. 104 (1988), 343-348 Request permission
Abstract:
It is well known that any Jordan ring satisfies the identity: $2((ax)x)x + a((xx)x) = 3(a(xx))x$. We show that this identity along with commutativity implies the Jordan identity in any semiprime ring. The proof requires characteistic $\ne 2,3$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 343-348
- MSC: Primary 17C05; Secondary 17C10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962796-4
- MathSciNet review: 962796