title: On power idealization filter topologies of lattice implication algebras.
abstract: The aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their quotient spaces.
authors.affiliation: School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China ; School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China.
authors.forename: Shi-Zhong
authors.initials: SZ
authors.lastname: Bai
authors.affiliation: School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China ; Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, China.
authors.forename: Xiu-Yun
authors.identifier: 0000-0002-9388-7821
authors.initials: XY
authors.lastname: Wu
mesh_terms: D000465:Algorithms; D008433:Mathematics; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D015203:Reproducibility of Results