06091153

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06091153 Zhu, Hua Chen, Shuwei Zhao, Jianbin The extended filter in lattice implication algebras. Fuzzy Syst. Math. 25, No. 5, 50-53 (2011). 2011 National University of Defense Technology, Hunan; China National Publishing Industry Trading Corporation, Beijing ZH filter extended filter filter's radical lattice implicative algebra Summary: The notion of an extended filter in lattice implication algebras is proposed. The relations between an extended filter and a filter, between an extended filter and a prime filter, between an extended filter and a filter's radical, between an extended filter and a primary filter, between an extended filter and a maximal filter are discussed, respectively. The properties of an extended filter are obtained. Finally, an extended filter is proved to be an extended filter's radical in lattice H implication algebras.