Howard E. Bell, "Certain near-rings are rings, II", International Journal of Mathematics and Mathematical Sciences, vol. 9, Article ID 730857, 6 pages, 1986. https://doi.org/10.1155/S0161171286000327
Certain near-rings are rings, II
We investigate distributively-generated near-rings which satisfy one of the following conditions: (i) for each , there exist positive integers , for which ; (ii) for each , there exists a positive integer such that . Under appropriate additional hypotheses, we prove that must be a commutative ring.
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