JP Journal of Algebra, Number Theory and Applications
Volume 42, Issue 1, Pages 49 - 57
(April 2019) http://dx.doi.org/10.17654/NT042010049 |
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ON P-3-PRIME AND P-c-PRIME IDEALS IN NEAR-RINGS
Funda TaÅŸdemir and Ä°smail TaÅŸtekin
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Abstract: In this study, we introduce the concept of P-3-prime ideal for an ideal P of a near-ring. Then, the relations between P-3-prime ideal and P-c-prime ideal are obtained. It is proved that a P-c-prime ideal is a P-3-prime ideal. But, in general, the converse relation does not hold. However we provide some additional conditions for the converse to be true. We provide examples to illustrate our results. Finally, some results about P-identity and P-inverse are also observed. |
Keywords and phrases: near-ring, P-3-prime ideal, P-c-prime ideal.
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