On rings satisfying $[(a, b, c), d]=0$
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- by Armin Thedy PDF
- Proc. Amer. Math. Soc. 29 (1971), 250-254 Request permission
Abstract:
A simple nonassociative ring, in which the associators commute with all elements, is under mild additional assumptions either associative or commutative. This result cannot be extended to prime rings since a construction of semiprime rings gives counterexamples.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 250-254
- MSC: Primary 17A30
- DOI: https://doi.org/10.1090/S0002-9939-1971-0294432-4
- MathSciNet review: 0294432