A GENERALIZATION OF SOME COMMUTATIVITY THEOREMS FOR RINGS I

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Published: Sep 1, 1990
DOI: https://doi.org/10.5556/j.tkjm.21.1990.4669
Keywords:
Associative ring s-unital ring commutativity of rings ring with unity

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H. A. S. ABUJABAL
Department of Mathematics, Faculty of Science, King Abdul-Aziz University, P.O. Box 9028, Jeddah - 21413, Saudi Arabia.

Abstract




In this paper we generalize some well-known commutativity theorems for rings as follows: Let $m > 1$, and $n$, $k$ be non-negative integers. Let $R$ be an $s$ - unital ring satisfying the polynomial identity $[x^ny- y^mx^k, x]=0$, for all $x,y\in R$. Then $R$ is commutative.




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How to Cite
ABUJABAL, H. A. S. (1990). A GENERALIZATION OF SOME COMMUTATIVITY THEOREMS FOR RINGS I. Tamkang Journal of Mathematics, 21(3), 239–245. https://doi.org/10.5556/j.tkjm.21.1990.4669
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Vol. 21 No. 3 (1990)
Section
Papers
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