Pseudo-Weak-R0 Algebras

نویسندگان

  • Yong Lin Liu
  • Xiaobo Cai
چکیده

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.

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عنوان ژورنال:

دوره 2014  شماره 

صفحات  -

تاریخ انتشار 2014