
doi: 10.1109/cis.2011.84
A positive answer to the open problem of Iorgulescu on extend weak-R0 algebras and R0 algebras to the non-commutative forms is given. Some properties, the noncommutative forms of the properties in weak-R0 algebras and R0 algebras, are investigated. The simplified axiom systems of weak-pseudo-R0 algebras and pseudo-R0 algebras are obtained.
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