Certain near-rings are rings, II

Howard E. Bell

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-6

Abstract:

We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x , y ∈ R , there exist positive integers m , n for which x y = y m x n ; (ii) for each x , y ∈ R , there exists a positive integer n such that x y = ( y x ) n . Under appropriate additional hypotheses, we prove that R must be a commutative ring.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:730857

DOI: 10.1155/S0161171286000327

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