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