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.
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页码：673 / 680
页数：8
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