title: Pseudo-weak-R 0 algebras.
abstract: 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.
authors.affiliation: Department of Mathematics and Computer, Wuyi University, Wuyishan, Fujian 354300, China.
authors.forename: Yong Lin
authors.initials: YL
authors.lastname: Liu
authors.affiliation: Department of Computer Science and Technology, Chuxiong Normal University, Chuxiong, Yunnan 675000, China.
authors.forename: Xiaobo
authors.initials: X
authors.lastname: Cai
mesh_terms: D006801:Humans; D008433:Mathematics