Some lattice-ordered algebras on which all congruences are principal

被引：0
|
作者：
Luo Congwen [1 ]
Wang Gaoxia [1 ]
机构：
[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Peoples R China
来源：
LOGIC JOURNAL OF THE IGPL | 2019年 / 27卷 / 03期
关键词：
Symmetric extended; distributive lattices; stone algebras; Kleene algebras; principal congruence;
D O I：
10.1093/jigpal/jzy050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize, via their dual spaces, the symmetric extended distributive lattices, symmetric extended Stone algebras and symmetric extended Kleene algebras on which all congruences are principal. The conditions require the finiteness and interpolation properties for these algebras.
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页码：314 / 327
页数：14
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