Spectrum topology of a residuated lattice

Mahmood Bakhshi ()
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Mahmood Bakhshi: University of Bojnord

Fuzzy Information and Engineering, 2013, vol. 5, issue 2, 159-172

Abstract: 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.

Keywords: Residuated lattice; Fuzzy prime filter; Spectrum; Topology (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0139-z

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