Space of Minimal n-Prime Ideals

被引：0

作者：

Mundlik, Nilesh ^{[1
]}

Joshi, Vinayak ^{[2
]}

机构：

[1] Nowrosjee Wadia Coll, Dept Math, Pune 411001, Maharashtra, India

[2] Savitribai Phule Pune Univ, Dept Math, Ctr Adv Study, Pune 411007, Maharashtra, India

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2019年 / 36卷 / 02期

关键词：

Prime ideal; Minimal prime ideal; n-prime ideal; 0-distributive lattice;

D O I：

10.1007/s11083-018-9463-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the concept of an n-prime ideal in 0-distributive lattices. The characterization of minimal n-prime ideals is obtained. Further, the topology on the set Pn(L) of minimal n-prime ideals of a 0-distributive lattice L is studied and it is shown that Pn(L) is compact if and only if it is finite.

引用

页码：225 / 232

页数：8

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