Geodesic
A Non-Abelian Near Ring in Which (-1)r=r Implies r=0
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 73-75

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In this Bulletin Ligh [2] generalized to finite near rings with identity a theorem Zassenhaus [5] used to prove every finite near field has abelian addition. B. H. Neumann [4] extended Zassenhaus’ result, using similar techniques and showed that all near fields are abelian. It has been an open question whether Ligh’s generalization could be carried out to infinite near rings with identity. The purpose of this paper is to show that Ligh’s theorem cannot be so extended. In particular, it cannot be extended even to distributively generated near rings, a type of near ring which has been useful in studying endomorphism rings of non-abelian groups [1,3]. 
McQuarrie, Bruce. A Non-Abelian Near Ring in Which (-1)r=r Implies r=0. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 73-75. doi: 10.4153/CMB-1974-012-4
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     title = {A {Non-Abelian} {Near} {Ring} in {Which} (-1)r=r {Implies} r=0},
     journal = {Canadian mathematical bulletin},
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     year = {1974},
     volume = {17},
     number = {1},
     doi = {10.4153/CMB-1974-012-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-012-4/}
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