HYPER QUASI-ORDERED RESIDUATED SYSTEMS

Authors

  • Daniel Abraham Romano International Mathematical Virtual Institute, Banja Luka, Bosnia and Herzegovina Author

DOI:

https://doi.org/10.37560/matbil22462103r

Keywords:

hyper QRS, deductive system in hyper QRS, filter in hyper QRS, quasi-ordered redisuated system

Abstract

The concept of quasi-ordered residuated systems as a generalization of both quasi-ordered residuated lattices and hoop-algebras was developed in 2018 by Bonzio and Chajda. In this paper, we apply the hyper structure theory to quasi-ordered residuated systems and we introduce the notion of hyper quasi-ordered residuated system which is a generalization of quasi-ordered residuated systems on the one hand and a generalization of both hyper quasi-ordered residuated lattices and hyper hoop-algebra, on the other hand, and we investigate some of their related properties. In addition to the previous one, the concept of deductive systems and concept of filters in this algebraic structure are presented and analyzed as well as the connections between them.

Downloads

Published

2023-06-16

Issue

Vol. 46 No. 2 (2022): 46 (LXXII) 2 (2022)

Section

Articles

License

Copyright (c) 2022 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
D. A. Romano, “HYPER QUASI-ORDERED RESIDUATED SYSTEMS”, Mat. Bilt., vol. 46, no. 2, pp. 103–119, Jun. 2023, doi: 10.37560/matbil22462103r.