P-ideals and P-filters of a P-algebra

被引：0

作者：

Nag, C. ^{[1
]}

Begum, S. N. ^{[1
]}

Talukder, M. R. ^{[1
]}

机构：

[1] Shah Jalal Univ Sci & Technol, Dept Math, Sylhet 3114, Bangladesh

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2018年 / 42卷 / 03期

关键词：

0-Distributive lattices; p-Algebras; Ideals; Filters;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study p-ideals and p-filters of a p-algebra. We give a Stone based separation theorem for p-ideals. We also give some characterizations of p-ideals and p-filters. We show that both the set of all p-ideals and the set of all p-filters of a p-algebra form a distributive p-algebra. Finally, we prove that the two p-algebras are isomorphic.

引用

页码：411 / 424

页数：14

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