k-filters and k-{∗}-congruences of core regular double Stone algebras

被引：0

作者：

Badawy A.E.-M. ^{[1
]}

Gomaa E. ^{[1
]}

机构：

[1] Department of Mathematics Faculty of Science, Tanta University, Tanta

来源：

Soft Computing | 2024年 / 28卷 / 17-18期

关键词：

Core regular double Stone algebras; Double Stone algebras; Filters; Ideals; Regular double Stone algebras; Stone algebras;

D O I：

10.1007/s00500-024-09767-z

中图分类号：

学科分类号：

摘要：

In this paper, we investigate various elegant filters and congruences of the class of core regular double Stone algebras (briefly CRD-Stone algebras). We define and characterize the concepts of k-filters and principal k-filters of a core regular double Stone algebra with the core element k, as well as their algebraic structures. We also look at k-{∗}-congruences and principal k-{∗}-congruences of a CRD-Stone algebra L that are induced by k-filters and principal k-filters of L, respectively. We find an isomorphism between the lattice Fk(L) of all k-filters of L (the lattice Fkp(L) principal k-filters of L) and the lattice Conk∗(L) of all k-{∗}-congruences on L (the lattice Conk∗(L) of all principal k-{∗}-congruences) of a CRD-Stone algebra L. © The Author(s) 2024.

引用

页码：10085 / 10097

页数：12