AbstractThe concept of quasi-ordered residuated systems was introduced in 2018 by Bonzio and Chajda as a generalization both of commutative residuated lattices and hoopalgebras. Then this author investigated the substructures of ideals and filters in these algebraic structures. As a continuation of these research, in this article we design the concept of quotient quasi-ordered residuated systems induced by a quasi-valuation on it. Additionally, we prove some important properties of the thus constructed quotient structure.
Quasi-ordered redisuated system (shortly QRS)
Open AccessArticle
Quotient quasi-ordered residuated systems induced by quasi-valuation maps
Annals of Communications in Mathematics 2023
, 6 (3)
, 199-208
DOI: https://doi.org/10.62072/acm.2023.060305