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P-properties in near-rings       
Yazarlar
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Hüseyin Kamacı
Yozgat Bozok Üniversitesi, Türkiye
İsmail Taştekin
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye
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.
Anahtar Kelimeler
near-ring, P-center, P-completely prime ideal, P-regular, P-strongly regular
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Journal of Mathematical and Fundamental Sciences
Dergi ISSN 2337-5760
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 08-2019
Cilt No 51
Sayı 2
Sayfalar 152 / 167
Doi Numarası 10.5614/j.math.fund.sci.2019.51.2.5
Makale Linki http://journals.itb.ac.id/index.php/jmfs/article/view/4597
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 2
SCOPUS 3
Google Scholar 5
P-properties in near-rings

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