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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Bibliographic Details
Main Author: Holdon L.C.
Format: Article
Language:English
Published: De Gruyter 2018-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0092