The Axioms Independence of Pseudo-Weak- R 0 Algebras and Filters

الملخص EN

The most simplified axiom systems of pseudo-weak- R 0 algebras and pseudo- R 0 algebras are obtained, and the mutually independence of axioms is proved.

We introduce the notions of filters and normal filters in pseudo-weak- R 0 algebras.

The structures and properties of the generated filters and generated normal filters in pseudo-weak- R 0 algebras are obtained.

These can be seen as noncommutative generalizations of the corresponding ones in weak- R 0 algebras.