JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 903 - 912
(October 2018) http://dx.doi.org/10.17654/NT040050903 |
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NEAR-RINGS WITH P-CENTRAL P-NILPOTENT OR P-IDEMPOTENT ELEMENTS
Hüseyin Kamacı and Akın Osman Atagün
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Abstract: Let P be an ideal of a near-ring. In this study, we introduce P-nilpotent element of a near-ring with properties. Also, we show that each element which of both P-nilpotent and P-idempotent is only an element of the ideal P. We investigate the relationships between P‑nilpotent, P-regular, P-idempotent and P-center. Finally, we introduce the near-rings in which P-idempotent elements or P‑nilpotent elements are P-central. |
Keywords and phrases: near-ring, P-central P-nilpotent, P-central P-idempotent.
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