P-properties in near-rings
Journal of Mathematical and Fundamental Sciences, ISSN: 2338-5510, Vol: 51, Issue: 2, Page: 152-167
2019
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85071364522&origin=inward; http://dx.doi.org/10.5614/j.math.fund.sci.2019.51.2.5; http://journals.itb.ac.id/index.php/jmfs/article/view/4597; https://dx.doi.org/10.5614/j.math.fund.sci.2019.51.2.5; https://journals.itb.ac.id/index.php/jmfs/article/view/4597
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