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 ...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 endomorphisms.We characterize the subdirectly irreducible members,and also consider the special case when both(L;f)and(L;k)are de Morgan algebras.We show via Priestley duality that there are precisely nine non-isomorphic subdirectly irreducible members,all of which are simple.展开更多
文摘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 endomorphisms.We characterize the subdirectly irreducible members,and also consider the special case when both(L;f)and(L;k)are de Morgan algebras.We show via Priestley duality that there are precisely nine non-isomorphic subdirectly irreducible members,all of which are simple.
