Pseudo-Weak- R 0 Algebras

الملخص EN

A positive answer to the open problem of Iorgulescu on extending weak- R 0 algebras and R 0 -algebras to the noncommutative forms is given.

We show that pseudo-weak- R 0 algebras are categorically isomorphic to pseudo-IMTL algebras and that pseudo- R 0 algebras are categorically isomorphic to pseudo-NM algebras.

Some properties, the noncommutative forms of the properties in weak- R 0 algebras and R 0 -algebras, are investigated.

The simplified axiom systems of pseudo-weak- R 0 algebras and pseudo- R 0 algebras are obtained.