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Hüseyin Kamacı
Department of Mathematics, Yozgat Bozok University, Yozgat 66100
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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P-properties in Near-rings Akın Osman Atagün; Hüseyin Kamacı; İsmail Taştekin; Aslıhan Sezgin
Journal of Mathematical and Fundamental Sciences Vol. 51 No. 2 (2019)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2019.51.2.5

Abstract

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 -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.
Co-Authors Akın Osman Atagün Aslıhan Sezgin İsmail Taştekin