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Near rings without zero divisors
 Shalom Feigelstock
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Near rings without zero divisors, and a dual structure, near codomains, are studied. It is shown that a near ring is a near field if and only if it is an integral near ring, a near codomain, and has a nonzero distributive element. If the additive group (N, +) of a near integral domainN is cohopfian, then (N, +) possesses a fixed point free automorphism which is either torsion free or of prime order. This generalizes a wellknown theorem of Ligh for finite near integral domains. A result ofGanesan [1] on the nonzero divisors in a finite ring is generalized to near rings.
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 Title
 Near rings without zero divisors
 Journal

Monatshefte für Mathematik
Volume 95, Issue 4 , pp 265268
 Cover Date
 19831201
 DOI
 10.1007/BF01547797
 Print ISSN
 00269255
 Online ISSN
 14365081
 Publisher
 SpringerVerlag
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 Authors

 Shalom Feigelstock ^{(1)}
 Author Affiliations

 1. BarIlan University, Ramat Gan, Israel