Radical of ideals and semi maximal ideals in BL-algebras

ln this paper. we introduce the notion of the radical of ideals in BL-algebras. Willi respect to concept, we characterise the notion ofthe radical of ideals hy elements ofa BL-algebra. Moreover, we show that in MV-algebras, the notion radical ideals are coincide with the notion radical ideals in BL-algebras. Also, we cleline t.hc notion of semi maximal ideal in BL—algebras and we state some theorems which determine the relationship between this notion and semi maximal tilters oI a Bl.-algebta. Finally, we show that ideal l is a semi maximal ideal of Bl.-algebra l. it and only il L/E isa semi simple BL-algebra

Keywords:

Bl.-algebra , [deal , Radical ideal , Semi maximal ideal