Normal filter in quasi-ordered residuated system

Abstract

The concept of quasi-ordered residuated systems was introduced by Bonzio and Chajda in 2018. The author introduced the concept of filters in such systems as well as some types of filters in them such as implicative and comparative filters. This article introduces the concept of a normal filter in a quasi-ordered residuated system and relates it to some other filters in such algebraic systems.