Three types of prime filters in strong quasi-ordered residuated system

Daniel Abraham Romano, International Mathematical Virtual Institute, Banja Luka, Bosnia and Herzegovina
2022 Annals of the University of Craiova. Mathematics and computer science series  
The concept of quasi-ordered residuated system was introduced in 2018 by Bonzio and Chajda. The author introduced and analyzed the concept of filters as well as some types of filters in such an algebraic system. Additionally, the author also dealt with a strong quasi-ordered residuated system in which he determined prime and irreducible filters. In this paper, the author introduce three types of prime filters in a strong quasi-ordered residuated system and analyze their interconnections.
doi:10.52846/ami.v49i1.1522 fatcat:htmrhif4djaohn6pgswfn3rpii