eO-代數(shù)簇公理

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 f2 = id and k2=id. We show that there are 19 non-equivalent axioms in e2M and then order them by implication.

作 者： 方捷 孫中舉 FANG Jie SUN Zhong Ju   作者單位： 方捷,FANG Jie(Faculty of Mathematics and Computer Science, Guangdong Polytechnic Normal University, Guangdong, 510665, China)

孫中舉,SUN Zhong Ju(Department of Mathematics, Shantou University, Guangdong 515063, China) 

刊 名： 數(shù)學(xué)研究與評(píng)論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號(hào)： O153.1  關(guān)鍵詞： Extended Ockham algebra   dual space   subdirectly irreducible algebra   equational basis  

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