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A Subclass of Ockham Algebras 被引量:1
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作者 Jie FANG Zhong Ju SUN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第10期2115-2128,共14页
Here we introduce a subclass of the class of Ockham algebras (L; f) for which L satisfies the property that for every x ∈ L, there exists n 〉 0 such that fn(x) and f^n+1(x) are complementary. We characterize ... Here we introduce a subclass of the class of Ockham algebras (L; f) for which L satisfies the property that for every x ∈ L, there exists n 〉 0 such that fn(x) and f^n+1(x) are complementary. We characterize the structure of the lattice of congruences on such an algebra (L; f). We show that the lattice of compact congruences on L is a dual Stone lattice, and in particular, that the lattice Con L of congruences on L is boolean if and only if L is finite boolean. We also show that L is congruence coherent if and only if it is boolean. Finally, we give a sufficient and necessary condition to have the subdirectly irreducible chains. 展开更多
关键词 Boolean algebra Ockham algebra congruence congruence coherence subdirectly irre-ducible
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