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ABSTRACT
The object of this note is to obtain information about the additive groups of local near-rings. It will be shown that the additive group of a torsion local near-ring is a bounded p-group. The torsion Abelian groups which are additive groups of local near-rings will be described completely. A method will be given to construct groups of almost any prime power order, which are not additive groups of local near-rings.
ACKNOWLEDGMENT
The author is indebted to Professor Avinoam Mann for his help.
Notes
Communicated by M. Cohen.