Some Basic Properties of Completely Prime Ideals in Near Rings
Keywords:completely prime ideal, near-ring, quasi completely prime, weakly completely prime ideal, weakly quasi completely prime
AbstractIn this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings. Some characterizations of completely prime and weakly completely prime ideals were obtained. Moreover, we investigated relationships between completely prime and weakly completely prime ideals in near-rings. Finally, we obtained necessary and sufficient conditions for a weakly completely prime ideal to be a completely prime ideal.
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