title: The axioms independence of pseudo-weak-R0 algebras and filters.
abstract: The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. We introduce the notions of filters and normal filters in pseudo-weak-R0 algebras. The structures and properties of the generated filters and generated normal filters in pseudo-weak-R0 algebras are obtained. These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras.
authors.affiliation: Department of Mathematics and Computer, Wuyi University, Wuyishan, Fujian 354300, China.
authors.forename: Yong Lin
authors.identifier: 0000-0002-1828-2881
authors.initials: YL
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical