Prime, weakly prime and almost prime elements in multiplication lattice modules

被引：2

作者：

Ugurlu, Emel Aslankarayigit ^{[1
]}

Callialp, Fethi ^{[2
]}

Tekir, Unsal ^{[1
]}

机构：

[1] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkey

[2] Beykent Univ, Dept Math, TR-34396 Istanbul, Turkey

来源：

OPEN MATHEMATICS | 2016年 / 14卷

关键词：

Multiplication lattice module; Prime element; Weakly prime element and Almost prime element; DUAL NOTION;

D O I：

10.1515/math-2016-0062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module. With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.

引用

页码：673 / 680

页数：8

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