NEAR-RINGS WITH P-CENTRAL P-NILPOTENT OR P-IDEMPOTENT ELEMENTS

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KAMACI H., Atagun A. O.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.40, sa.5, ss.903-912, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 40 Sayı: 5
• Basım Tarihi: 2018
• Doi Numarası: 10.17654/nt040050903
• Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
• Sayfa Sayıları: ss.903-912
• Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.