Article
MSC:
03B52,
03E72,
06B30,
06F30,
08A72,
54A10 | MR 4548220 | Zbl 07655863 | DOI: 10.14736/kyb-2022-6-0863
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Keywords:
uninorm; closure operator; principal topology; bounded lattice
uninorm; closure operator; principal topology; bounded lattice
Summary:
We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice based on equality of the topologies induced by uninorms.
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