COUPLED QUANTALES AND A NON-COMMUTATIVE APPROACH TO BITOPOLOGICAL SPACES

M. Azab Abd-Allah, Kamal El-Saady, A. Ghareeb, Ayat A. Temraz · International Journal of Pure and Apllied Mathematics · 2017

The concept of a coupled quantales is introduced as a non-commutative extension of the concept of biframes.Also an approach to non-commutative bitopology is studied.Then an adjunction between the category of coupled quantales and the category of biquantum spaces is established.

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