Spectrum topology of a residuated lattice |
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Authors: | Mahmood Bakhshi |
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Institution: | 1. Department of Mathematics, University of Bojnord, Bojnord, Iran
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Abstract: | In this paper, given a non-commutative residuated lattice L, a topological space is constructed using certain fuzzy subsets of L. Indeed, we show that the set of all prime fuzzy filters of a non-commutative residuated lattice L forms a topological space. Particularly, we show that this space is compact and a T 0-space and its certain subspaces are Hausdorff spaces. Finally, we show that the set of all prime filters of L is also a Hausdorff space. |
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