P-properties in Near-rings

被引：4

作者：

Atagun, Akin Osman ^{[1
]}

Kamaci, Huseyin ^{[2
]}

Tastekin, Ismail ^{[2
]}

Sezgin, Aslihan ^{[3
]}

机构：

[1] Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkey

[2] Yozgat Bozok Univ, Dept Math, TR-66100 Yozgat, Turkey

[3] Amasya Univ, Dept Elementary Educ, TR-05100 Amasya, Turkey

来源：

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES | 2019年 / 51卷 / 02期

关键词：

near-ring; P-center; P-completely prime ideal; P-regular; P-strongly regular;

D O I：

10.5614/j.math.fund.sci.2019.51.2.5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：152 / 167

页数：16

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