A module theoretic characterization of the prime radical of near-rings

摘要

AbstractA prime rightR-group is introduced for a right near-ringR. A characterization of a prime ideal of a near-ringRis given in terms of the annihilator of a prime rightR-group of the near-ringR. Using it a module theoretic characterization of the prime radical of near-rings is presented. Also it is re-established that the prime radical of near-rings is a Hoehnke radical (H-radical) which is idempotent but not complete using this module theoretic characterization of the prime radical of near-rings.]]>