SIMPLE RINGS WITH $(R,R,R)$ IN LEFT NUCLEUS

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Published: Mar 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4203
Keywords:
Nucleus simple associator associator ideal

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ERWIN KLEINFELD
Mathematics Depar·tment, University of Iowa, Iowa City, IA 52242, U.S.A.
MARGARET KLEINFELD
Mathematics Depar·tment, University of Iowa, Iowa City, IA 52242, U.S.A.

Abstract




It is shown that assummg associators in the left nucleus, simple rings with identity and characteristic$\neq 2$ must be associative.




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How to Cite
KLEINFELD, E., & KLEINFELD, M. (1999). SIMPLE RINGS WITH $(R,R,R)$ IN LEFT NUCLEUS. Tamkang Journal of Mathematics, 30(1), 35–37. https://doi.org/10.5556/j.tkjm.30.1999.4203
Issue
Vol. 30 No. 1 (1999)
Section
Papers
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References

Irvin Roy Hentzel and Chen-Te Yen, Rings with $(R,R,R)$ and $[R,(R,R,R)]$ in the left nucleus, Tamkang J. Math. 27(1996), 183-187.

Erwin Kleinfeld, A class of rings which are very nearly associative, Amer. Math. Monthly 93(1986), 720-722.

Chen-Te Yen, Rings with assoicators in the left and middle nucleus, Tamkang J. Math. 23(1992), 363-369.

Chen-Te Yen, Rings with $(R,R,R)$ and $[(R,R,R),R]$ in the left nucleus, Tamkang. J. Math 24(1993), 209-213.