**C. COTTI FERRERO** and** F. MORINI**
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On near-rings in which the ideals are annihilators
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**Pages** 1-10

**Received:** 28 July 1992

**AMS Classification:** 16Y30

**Introduction**
Rings R in which all (left or right) ideals are (left or right) annihilators of subsets of R are studied in [**4**], [**5**], [**6**], [**8**]. The purpose of this paper is to extend the above situation to near-rings and to establish the structure theory for R-near-rings: namely the near-rings N in which every non-trivial ideal is a right annihilaator of a subset of N.