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eO-代數簇公理

時間:2023-04-26 21:25:43 數理化學論文

eO-代數簇公理

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: 數學研究與評論  ISTIC PKU 英文刊名: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年,卷(期): 2008 28(3)  分類號: O153.1  關鍵詞: Extended Ockham algebra   dual space   subdirectly irreducible algebra   equational basis  

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