Geodesic
A Commutativity Theorem for Near-Rings
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 25-28

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A ring or near-ring R is called periodic if for each xεR, there exist distinct positive integers n, m for which xn = xm . A well-known theorem of Herstein states that a periodic ring is commutative if its nilpotent elements are central [5], and Ligh [6] has asked whether a similar result holds for distributively-generated (d-g) near-rings. It is the purpose of this note to provide an affirmative answer. 
Bell, Howard E. A Commutativity Theorem for Near-Rings. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 25-28. doi: 10.4153/CMB-1977-004-5
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     title = {A {Commutativity} {Theorem} for {Near-Rings}},
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