The axioms independence of pseudo-weak-R0 algebras and filters.
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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.
SUBMITTER: Liu YL
PROVIDER: S-EPMC4119676 | biostudies-other | 2014
REPOSITORIES: biostudies-other
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