近环中的p -性质

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2019-08-06 DOI:10.5614/J.MATH.FUND.SCI.2019.51.2.5

A. O. Atagün, Hüseyin Kamacı, İsmail Taştekin, A. Sezgi̇n

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引用次数: 2

摘要

本文假设N是一个近环，P是N的理想，定义了N的P中心，N中一个元素的P中心，N的P恒等式。研究了它们的性质和相互关系。证明了N中所有P -恒等式的集合是N的一个乘法子半群。定义了P -右、P -左置换环和P -中间近环，并给出了一些性质和联系。研究了P正则和P强正则近环。引入了P -完全素数理想，给出了-完全素数近环的一些性质。研究了P -完全素数近环中P -幂等、P -中心、P -恒等式的一些性质。通过实例说明了本文的研究结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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P-properties in Near-rings

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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来源期刊

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： 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.