NORMAL FILTER IN PSEUDO QUASI-ORDERED RESIDUATED SYSTEMS

Authors

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

Keywords:

Quasi-ordered residuated systеm (QRS), pseudo-QRS, filters in pseudo-QRS, normal filter in pseudo QRS

Abstract

The concept of quasi-ordered residuated systems is a generalization of both commutative residual lattices and hoop-algebras. On the other hand, it is a BE-algebra with respect to the residue operation. Pseudo quasi-ordered residuated systems is a noncommutative generalization of quasi-ordered residuated systems. In the present paper, we introduce the notion of normal filters in a pseudo quasi-ordered residuated system and give some characterizations of it. We state and prove some theorems which determine the relationship between this concept and the other types of filters in a pseudo quasi-ordered residuated system such as implicative and comparative filters.

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Published

2026-07-23

Issue

Vol. 49 No. 2 (2025): 49 (LXXV) 2 (2025)

Section

Articles

License

Copyright (c) 2025 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, “NORMAL FILTER IN PSEUDO QUASI-ORDERED RESIDUATED SYSTEMS”, Mat. Bilt., vol. 49, no. 2, pp. 107–119, Jul. 2026, Accessed: Jul. 24, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1970