L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

被引:4
作者
Alemayehu, Teferi Getachew [1 ]
Engidaw, Derso Abeje [2 ]
Addis, Gezahagne Mulat [2 ]
机构
[1] Debre Berhan Univ, Dept Math, Debre Berhan, Ethiopia
[2] Univ Gondar, Dept Math, Gondar, Ethiopia
关键词
D O I
10.1155/2021/6644443
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra (A, f), whose truth values are in a complete lattice satisfying the infinite meet distributive law. Some equivalent conditions are derived for a fuzzy ideal of an Ockham algebra A to become a fuzzy kernel ideal. We also obtain the smallest (respectively, the largest) fuzzy congruence on A having a given fuzzy ideal as its kernel.
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页数:12
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