P-properties in Near-rings
JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, cilt.51, sa.2, ss.152-167, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 51 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.5614/j.math.fund.sci.2019.51.2.5
- Dergi Adı: JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.152-167
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yozgat Bozok Üniversitesi Adresli: Evet
Özet
In this paper, assuming that N is a near-ring and P is an ideal of N, the P-center of N, the P-center of an element in N, the P-identities of N are defined. Their properties and relations are investigated. It is shown that the set of all P-identities in N is a multiplicative subsemigroup of N. Also, P-right and P-left permutable and P-medial near-rings are defined and some properties and connections are given. P-regular and P-strongly regular near-rings are studied. P-completely prime ideals are introduced and some characterizations of P-completely prime near-rings are provided. Also, some properties of P-idempotents, P-centers, P-identities in P-completely prime near-rings are investigated. The results that were obtained in this study are illustrated with many examples.