Associated filters of quasi-ordered residuated systems
Daniel A. Romano · Contributions to Mathematics · 2020
The concept of residuated relational systems ordered under a quasi-order relation (in short: QRS) was introduced by Bonzio and Chajda [Asian-Eur.J. Math.11 (2018) Art# 1850024] as a structure A = A, •, →, 1, R , where (A, •) is a commutative monoid with the identity 1 as the top element in this ordered monoid under a quasi-order R. The author has recently introduced and analyzed the concept of filters in the foregoing type of algebraic structures.In this article, as a continuation of the previous research on QRS, the concept of associated filters of QRS is proposed and analyzed.