The Strong Endomorphism Kernel Property in Double MS-Algebras

被引:9
|
作者
Fang, Jie [1 ]
机构
[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Guangdong, Peoples R China
关键词
Strong endomorphism kernel property; Double MS-algebra; Double Stone algebra; DISTRIBUTIVE LATTICES; P-ALGEBRAS;
D O I
10.1007/s11225-017-9722-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An endomorphism on an algebra is said to be strong if it is compatible with every congruence on ; and is said to have the strong endomorphism kernel property if every congruence on , other than the universal congruence, is the kernel of a strong endomorphism on . Here we characterise the structure of those double MS-algebras that have this property by the way of Priestley duality.
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页码:995 / 1013
页数:19
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