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Some Basic Properties of Completely Prime Ideals in Near Rings

Pairote Yiarayong

Journal of Mathematical and Fundamental Sciences · 2015

doi:10.5614/j.math.fund.sci.2015.47.3.1 (opens in a new tab)

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Abstract

In 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.

Abstract licence: CC BY-ND

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