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Implicative Topology on Residuated Lattices
Shokoofeh Ghorbani and Abbas Hasankhani

In this paper, we introduce the notion of an implicative topological residuated lattice and study its properties. We define uniform topology on a residuated lattice by use the concept of filters and find some properties of this topological structure. Also, we obtain some relationship between these topologies.

Keywords: Residuated lattice, implicative topology, filters, uniform topology

MSC(2000): 03G25, 54H99, 54E15

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