Progress in Applied Mathematics
The Convergence of Filters on Quantales and Its Hausdorffness
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
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PDFDOI: http://dx.doi.org/10.3968/j.pam.1925252820120401.1500
DOI (PDF): http://dx.doi.org/10.3968/g2759
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