P-properties in Near-rings

Atagun, Akin; KAMACI, HÜSEYİN; Tastekin, Ismail; SEZGİN SEZER, ASLIHAN

doi:10.5614/j.math.fund.sci.2019.51.2.5

P-properties in Near-rings

Atıf İçin Kopyala

Atagun A. O., KAMACI H., Tastekin I., SEZGİN SEZER A.

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, cilt.51, sa.2, ss.152-167, 2019 (ESCI)

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
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.