References
H. E. Bell, Near rings in which each element is a power of itself,Bull. Austral. Math. Soc.,2 (1970), 363–368.
H. E. Bell, Certain near rings are rings,J. London Math. Soc., (2)4 (1971), 264–270.
J. R. Clay, The near rings on groups of low order,Math. Z.,104 (1968), 364–371.
I. N. Herstein, A note on rings with central nilpotent elements,Proc. Amer. Math. Soc.,5 (1954), 620.
N. Jacobson,Structure of rings, Amer. Math. Soc. Colloq. Publ., vol. 37, Amer. Math. Soc. (Providence, R. I., 1964).
S. Ligh, On boolean near rings,Bull. Austral. Math. Soc.,1 (1969), 375–379.
S. Ligh, On distributively generated near rings,Proc. Edinburg Math. Soc.,16 (1969), 239–243.
S. Ligh, On the commutativity of near rings,Kyungpook Math. J.,10 (1970), 105–106.
S. Ligh, On the commutativity of near rings, II,Kyungpook Math. J.,11 (1971), 159–163.
S. Ligh, On the commutativity of near rings, III,Bull. Austral. Math. Soc.,6 (1972), 459–464.
S. Ligh, B. McQuarrie, O. Slotterbeck, On near fields,J. London Math. Soc., (2)5 (1972), 87–90.
S. Ligh, A generalization of a theorem of Wedderburn,Bull. Austral. Math. Soc.,8 (1973), 181–185.
S. Ligh andJ. J. Malone Jr., Zero divisors and finite near rings,J. Austral. Math. Soc.,11 (1970), 374–378.
J. Luh, On the structure ofJ-rings,Amer Math. Monthly,74 (1967), 164–166.
D. L. Outcalt andA. Yaqub, A commutativity theorem for rings,Bull. Austral. Math. Soc.,2 (1970), 95–100.
P. N. Stewart, Semi-simple radical classes,Pac. Math. J.,32 (1970), 249–254.
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Ligh, S., Luh, J. Some commutativity theorems for rings and near rings. Acta Mathematica Academiae Scientiarum Hungaricae 28, 19–23 (1976). https://doi.org/10.1007/BF01902488
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DOI: https://doi.org/10.1007/BF01902488