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The Convergence of Filters on Quantales and Its Hausdorffness

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Author(s): Shaohui LIANG

Journal: Progress in Applied Mathematics
ISSN 1925-251X

Volume: 4;
Issue: 1;
Start page: 43;
Date: 2012;
Original page

Keywords: Quantale | Point | ideal | Congerencen of filter | Hausdorff Property

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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