REGULAR FILTERS OF DISTRIBUTIVE LATTICES

被引：0

作者：

Rao, M. sambasiva ^{[1
]}

Kumar, A. p. phaneendra ^{[2
]}

机构：

[1] MVGR Coll Engn, Dept Math, POB 535005, Vizianagaram, Andhra Pradesh, India

[2] MVGR Coll Engn, Dept Math, POB 535005, Vizianagaram, Andhra Pradesh, India

来源：

JOURNAL OF ALGEBRAIC SYSTEMS | 2025年 / 12卷 / 02期

关键词：

Regular filter; Minimal prime D -filter; it-filter; Dense element; Relatively;

D O I：

10.22044/JAS.2023.12585.1674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. The concepts of regular filters and it-filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter. For every D-filter, it is proved that there exists a homomorphism whose dense kernel is a regular filter. it-filters are characterized in terms of regular filters and congruences. Some equivalent conditions are given for the space of all prime it-filters to become a Hausdorff space.

引用

页码：283 / 299

页数：18

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