ON P-3-PRIME AND P-c-PRIME IDEALS IN NEAR-RINGS

---

Atıf İçin Kopyala

TAŞDEMİR F., Tastekin I.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.42, sa.1, ss.49-57, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.17654/nt042010049
• Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
• Sayfa Sayıları: ss.49-57
• Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.