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k-filters and k-{∗}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{^*\}$$\end{document}-congruences of core regular double Stone algebras
被引：0
作者：
Abd El-Mohsen Badawy
[1
]
Eman Gomaa
[1
]
机构：
[1] Tanta University,Department of Mathematics Faculty of Science
关键词：
Stone algebras;
Double Stone algebras;
Regular double Stone algebras;
Core regular double Stone algebras;
Ideals;
Filters;
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-{∗}\documentclass[12pt]{minimal}
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\begin{document}$$\{^*\}$$\end{document}-congruences and principal k-{∗}\documentclass[12pt]{minimal}
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\begin{document}$$\{^*\}$$\end{document}-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)\documentclass[12pt]{minimal}
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\begin{document}$$F_{k}(L)$$\end{document} of all k-filters of L (the lattice Fkp(L)\documentclass[12pt]{minimal}
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\begin{document}$$F_{k}^{p}(L)$$\end{document} principal k-filters of L) and the lattice Conk∗(L)\documentclass[12pt]{minimal}
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\begin{document}$$Con^{*}_{k}(L)$$\end{document} of all k-{∗}\documentclass[12pt]{minimal}
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\begin{document}$$\{^*\}$$\end{document}-congruences on L (the lattice Conk∗(L)\documentclass[12pt]{minimal}
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\begin{document}$$Con^{*}_{k}(L)$$\end{document} of all principal k-{∗}\documentclass[12pt]{minimal}
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\begin{document}$$\{^*\}$$\end{document}-congruences) of a CRD-Stone algebra L.
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页码：10085 / 10097
页数：12
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