Korean J. Math. Vol. 28 No. 2 (2020) pp.311-321
DOI: https://doi.org/10.11568/kjm.2020.28.2.311

The properties of residuated connections and Alexandrov topologies

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Published: Jun 30, 2020
Keywords:
Non-symmetric pseudo-metrics, residuated and dual residuated connections, Alexandrov topologies
Mathematics Subject Classification:
03E72, 03G10, 06A15, 54F05

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Ju-mok Oh
Department of Mathematics Gangneung-Wonju National, Gangneung 25457, Korea
Yong Chan Kim
Department of Mathematics Gangneung-Wonju National, Gangneung 25457, Korea

Abstract

In this paper, we investigate the properties of residuated connections and Alexandrov topologies based on $[0,\infty]$. Under various relations, we investigate the residuated and dual residuated connections on Alexandrov toplogies. Moreover, we study their properties and give their examples.


Article Details

Supporting Agencies

This work was supported by the Research Institute of Natural Science of Gangneung-Wonju National University.

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