A Study of a Special Semi Maximal Filters in BL−algebras

Abstract

In this article, a specific type of semi maximal filters is introduced, which form a lattice structure. These filters are called J- semi maximal and NJ-semi maximal, and their key properties in BL-algebras are analyzed. Additionally, these special filters are compared with other defined filters, particularly semi maximal and maximal filters. The purpose of this article is to provide a new analysis of filters in BL-algebras.