Semi Maximal Filters in Linear BL-algebras

In this paper, we study semi maximal flters in linear BL-algebras and we state and prove some theorems that determine relationship between this flter and other types of flters in linear BL-algebras, in a particular case, we prove that every semi maximal flter of linear BL-algebra is a prime, maximal and primary flter. In the following, we study radical of flters and semi maximal lters in integral BL-algebras.