| Commuting double Ockham algebras |
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| 作者单位： | FANG Jie Department of Mathematics，Shantou University，Shantou 515063，China |
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| 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 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.
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| 收稿时间： | 17 April 2006 |
| 修稿时间： | 15 August 2007 |
Commuting double Ockham algebras |
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| Authors: | Fang Jie |
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| Institution: | (1) Department of Mathematics, Shantou University, Shantou, 515063, China |
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| Abstract: | 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 operations 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.
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| Keywords: | subdirectly irreducible double Ockham algebra Priestley duality |
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