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Some Remarks about Regular Relations
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Version 1
: Received: 7 October 2023 / Approved: 9 October 2023 / Online: 10 October 2023 (13:21:19 CEST)
How to cite: Zhao, C.; Jiang, G. Some Remarks about Regular Relations. Preprints 2023, 2023100646. https://doi.org/10.20944/preprints202310.0646.v1 Zhao, C.; Jiang, G. Some Remarks about Regular Relations. Preprints 2023, 2023100646. https://doi.org/10.20944/preprints202310.0646.v1
Abstract
In this paper, we give the Galois adjunction form of the regular relation, and by using residuated mapping, we find the connection between it and order-generating set. Furthermore, we obtain the equivalent conclusion of "regular". In addition, by using the specialization order of topological space and the lower approximate operator in the rough set, we find a continuous homeomorphic mapping from a regular space to a Alexandrov topological space
Keywords
Regular relations；Galois adjunction； Dually order generating；Category theory
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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