Completely Equiprime Ideals of Near-Ring Modules

Funda Taşdemir

Abstract


In this study, the concept of completely equiprime N-ideal (ideal of near-ring modules) is introduced. Also the interconnections of completely equiprime, equiprime and completely prime N-ideals are considered. It is proved that if  P is a completely equiprime ideal of an N-group (near-ring module) Γ, then (P:Γ) is a completely equiprime ideal of a near-ring N. The converse relation does not hold in general, however we provide some additional conditions for the converse to be true. The connection between the concepts of completely equiprime N-ideal and IFP N-ideal is also observed. 

 

 

 


Keywords


completely prime N-ideal; equiprime N-ideal; completely equiprime N-ideal; IFP N-ideal

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v8i1.816

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