Commuting double Ockham algebras

作     者：FANG Jie Department of Mathematics,Shantou University,Shantou 515063,China 

作者机构：Department of Mathematics Shantou University Shantou China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第2期

页      面：185-194页

核心收录：

学科分类：0810[工学-信息与通信工程] 08[工学] 081001[工学-通信与信息系统] 0701[理学-数学] 

主　　题：subdirectly irreducible double Ockham algebra Priestley duality 

摘      要：In this paper,we study a certain class of double Ockham algebras (L;∧,∨,f,k,0,1), namely the bounded distributive lattices (L;∧,∨,0,1) endowed with a commuting pair of unary op- erations f and k,both of which are dual *** characterize the subdirectly irreducible members,and also consider the special case when both (L;f) and (L;k) are de Morgan *** show via Priestley duality that there are precisely nine non-isomorphic subdirectly irreducible members, all of which are simple.