On Endomorphisms of Ockham Algebras with Pseudocomplementation

被引：1
|
作者：
Blyth, T. S. [1 ]
Fang, J. [2 ]
机构：
[1] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Fife, Scotland
[2] Guangdong Polytech Normal Univ, Sch Comp Sci, Guangzhou, Guangdong, Peoples R China
来源：
STUDIA LOGICA | 2011年 / 98卷 / 1-2期
关键词：
Ockham algebra; pseudocomplementation; endomorphism;
D O I：
10.1007/s11225-011-9327-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A pO-algebra (L; f, *) is an algebra in which (L; f) is an Ockham algebra, (L; *) is a p-algebra, and the unary operations f and * commute. Here we consider the endomorphism monoid of such an algebra. If (L; f, *) is a subdirectly irreducible pK(1,1)-algebra then every endomorphism theta is a monomorphism or theta(3) = theta. When L is finite the endomorphism monoid of L is regular, and we determine precisely when it is a Clifford monoid.
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页码：237 / 250
页数：14
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