Integral Ideals in BL-algebras

In this paper, we introduce the concept of integral ideals in BL-algebras. With respect to this concept, we give some related results. In particular, we prove that an integral ideal is Boolean and a prime ideal. Also, we prove that a BL-algebra is an integral BL-algebra if and only if the trivial ideal f0g is an integral ideal. Moreover, we study the relation between integral ideals and obstinate filters in BL-algebras by using the set of the complemented elements.