New topology in residuated lattices
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space. We obtain some of the topological aspects of these structures such as conne...
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Format: | Article |
Language: | English |
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De Gruyter
2018-10-01
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Series: | Open Mathematics |
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Online Access: | https://doi.org/10.1515/math-2018-0092 |