Rings and residuated lattices whose fuzzy ideals form a Boolean algebra

被引：0
作者：
S. V. Tchoffo Foka
Marcel Tonga
机构：
[1] University of Yaounde 1,Department of Mathematics
来源：
Soft Computing | 2022年 / 26卷
关键词：
Ring; Ideal; -fuzzy ideal; Residuated lattice; Heyting algebra; Boolean algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we characterize those rings A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {A}}$$\end{document} and complete Brouwerian residuated lattices L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {L}}$$\end{document} whose residuated lattice Fid(A,L)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {F}}id({\mathcal {A}},L)$$\end{document}, of L-fuzzy ideals of A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {A}}$$\end{document}, forms a Boolean algebra.
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页码：535 / 539
页数：4
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