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Axioms in the Variety of eO-Algebras
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作者 FANG Jie sun zhong ju 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第3期699-705,共7页
The variety eO of extended Ockham algebras consists of those algebras (L; ∧, ∨, f, k, 0, 1) such that (L; ∧, ∨, 0, 1) is a bounded distributive lattice together with a dual endomorphism f on L and an endomorp... The variety eO of extended Ockham algebras consists of those algebras (L; ∧, ∨, f, k, 0, 1) such that (L; ∧, ∨, 0, 1) is a bounded distributive lattice together with a dual endomorphism f on L and an endomorphism k on L such that fk = kf. In this paper we extend Urquhart's theorem to eO-algebras and we are in particular concerned with the subclass e2M of eO-algebras in which f^2 = id and k^2 = id. We show that there are 19 non-equivalent axioms in e2M and then order them by implication. 展开更多
关键词 Extended Ockham algebra dual space subdirectly irreducible algebra equational basis.
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