A NOTE ON SEMIDIRECT PRODUCT IN NEAR-RINGS

被引：0

作者：

Cho, Yong Uk ^{[1
]}

机构：

[1] Silla Univ, Coll Educ, Dept Math, Pusan 617736, South Korea

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 18卷 / 01期

关键词：

zero symmetric part; con stant part; idempotent; semidirect product;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we begin by giving some properties of zero symmetric part and constant part in near-rings. We obtain some properties of semidirect product of near-rings. That is, for any near-ring (R, +, .), the group (R, +) is a semidirect product of a subgroup (R-0, +) by a subgroup (Rc, +). Next, we derive that for any idempotent e in R, the group (R, +) is a semidirect product of a normal subgroup (l(e), +) by a subgroup (Re, +).

引用

页码：11 / 16

页数：6

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