Some new types of stabilizers in BL-algebras and their applications
R. A. Borzooei · Indian Journal of Science and Technology · 2012
In this paper we introduce some new types of stabilizers in BL-algebras and we state and prove some theorems which determine the relations among stabilizers, MV–algebras and G¨odel algebras. We define the concept ofZRS– condition in BL-algebras and we find a relation between this class of BL-algebras and MV–algebras. Finally, we show that the (semi) normal filters and fantastic filters are equal in BL-algebra. Keywords: BL-algebra, MV–algebra, G¨odel algebra, fantastic filter, stabilizer filter, normal filter. Mathematical subject classification (2000): 06D33, 06E99, 03G25