Smarandache BL-algebra

In this paper we define the Smarandache BL-algebra, Q-Smarandache ideal and Q-Smarandache implicative ideal, we obtain some related results. After that by considering the notions of these ideals we determine relationships between ideals in BL-algebra and Q-Smarandache (implicative) ideals of BL-algebra. Finally we construct quotient of Smarandache BL-algebras via MV-algebra and prove some theorems.