Congruence Relations on Lattice Implication Algebras

Liu Yi; Xu Yang

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Congruence Relations on Lattice Implication Algebras

Liu Yi * #,Xu Yang

Intelligent Control Development Center，Southwest Jiaotong University

*Correspondence author

#Submitted by

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Funding: 教育部博士点基金,国家自然科学基金（No.20060613007, 60875034）

Opened online:31 December 2009

Accepted by: none

Citation: Liu Yi,Xu Yang.Congruence Relations on Lattice Implication Algebras[OL]. [31 December 2009] http://en.paper.edu.cn/en_releasepaper/content/38355

Lattice implication algebra is an important logic algebra, congruence relations is one of important contents in it. The basic properties and the structures of general congruence relations on lattice implication algebras are discussed; The results that a lattice implication algebra is congruence-permutable is obtained; At last, properties of congruence relations on finite lattice implication algebras are discussed.

Keywords:lattice implication algebra;congruence relations;permutable lattice implication algebra

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