FANTASTIC FILTERS IN QUASI-ORDERED RESIDUATED SYSTEMS

Authors

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

DOI:

https://doi.org/10.37560/matbil22461067r

Keywords:

Quasi-ordered residuated system, filter in quasi-ordered residuared system, fantastic filter in quasi-ordered residuared system

Abstract

The notion of quasi-ordered residuated systems was introduced by Bonzio and Chajda in 2018 as a generalization of both commutative residual lattices and hoop-algebras. With respect to the residuum, this system is a BE-algebra. After that, the concepts of ideals and filters in such systems as well as some types of filters in them were introduced by this author a little differently than it was done in the mentioned structures. In this paper, the concept of fantastic filters in a quasi-ordered residuated system is introduced. In addition, the relationships between this newly designed filter in the quasi-ordered residated system and other types of filters in it are analyzed.

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Published

2023-01-17

Issue

Vol. 46 No. 1 (2022): 46 (LXXII) 1 (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, “FANTASTIC FILTERS IN QUASI-ORDERED RESIDUATED SYSTEMS”, Mat. Bilt., vol. 46, no. 1, pp. 67–75, Jan. 2023, doi: 10.37560/matbil22461067r.