The Convergence of Filters on Quantales and Its Hausdorffness

Shaohui LIANG

Abstract


In this paper, we introduce the definition of conergence of filters on quantale. Some characterizations of finit completeness and compactness of quantales are studied. At last, the Hausdorff property in quantale using the converence structure is presented.

key words: Quantale; Point; ideal; Congerencen of filter; Hausdorff Property


Keywords


Quantale; Point; ideal; Congerencen of filter; Hausdorff Property

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DOI: http://dx.doi.org/10.3968/j.pam.1925252820120401.1500

DOI (PDF): http://dx.doi.org/10.3968/g2759

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