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.
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页码：225 / 232
页数：8
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