Implicative filters in quasi-ordered residuated system
Author
Romano, Daniel
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/414410.22199/issn.0717-6279-2021-02-0025
Abstract
The concept of residuated relational systems ordered under a quasiorder relation was introduced in 2018 by S. Bonzio and I. Chajda 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 introduced and analyzed the concepts of filters in this type of algebraic structures. In this article, as a continuation of previous author’s research, the author introduced and analyzed the concept of implicative filters in quasi-ordered residuated systems.