Shahrood University of TechnologyJournal of Algebraic Systems2345-512812120240901ON INVERSE LIMIT OF A PROJECTIVE SYSTEM OF BL-ALGEBRAS123133284110.22044/jas.2022.12222.1643ENReza Tayebi KhoramiDepartment of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.0000-0003-3291-722XJournal Article20220819In this paper, the inverse limits of a projective system of basic logic algebras (BL-algebras) are introduced, and their basic properties are studied. The set of congruences of a BL-algebra<br />is considered as a poset. Then, a quotient inverse system and a quotient inverse limit on it are constructed. Moreover, by setting filters of a BL-algebra, quotient projective and inverse systems are<br />constructed.https://jas.shahroodut.ac.ir/article_2841_08dcfa24d882ccd53f417575464cab96.pdf