AN IDEAL - BASED ZERO-DIVISOR GRAPH OF POSETS

被引：4
|
作者：
Elavarasan, Balasubramanian [1 ]
Porselvi, Kasi [1 ]
机构：
[1] Karunya Univ, Sch Sci & Humanities, Dept Math, Coimbatore 641114, Tamil Nadu, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 28卷 / 01期
关键词：
posets; semi-ideals; prime semi-ideals; zero-divisor graph;
D O I：
10.4134/CKMS.2013.28.1.079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The structure of a poset P with smallest element 0 is looked at from two view points. Firstly, with respect to the Zariski topology, itis shown that Spec(P),the set of all prime semi-ideals of P, is a compactspace and Max(P),the set of all maximal semi-ideals of P, is a compactT1subspace. Various other topological properties are derived. Secondly,we study the semi-ideal-based zero-divisor graph structure of poset P,denoted by G(I)(P),and characterize its diameter.
引用
收藏
页码：79 / 85
页数：7
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