Fuzzy MP-filters Lattice on a Given FI-algebra  

作　　者：LIU Chun-hui XU Luo-shan 

机构地区：[1]1.School of Mathematics and Statistics, Chifeng University, Chifeng 024001, China [2]Department of Mathematics Science, Yangzhou University, Yangzhou 225002, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期625-632,共8页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（10371106, 60774073）

摘　　要：In this paper, the properties of fuzzy MP-filters are discussed by using methods of Domain theory in FI-algebras. It is proved that all fuzzy MP-filters of a given FI-algebra form a distributive algebraic lattice, particularly form a frame.

关 键 词：FI-ALGEBRA fuzzy MP-filter algebraic lattice continuous lattice 

分 类 号：O153.3[理学—数学]