A. O. Atagün, Hüseyin Kamacı, İsmail Taştekin, A. Sezgi̇n
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引用次数: 2
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.
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Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.
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