New results on Congruence Boolean Lifting Property

The Lifting Idempotent Property (LIP) of ideals in commutative rings inspired the study Boolean lifting properties context other concrete algebraic structures (MV-algebras, l-groups, BL-algebras, bounded distributive lattices, residuated etc.), as well for some types universal algebras (C. Muresan and author defined studied Congruence (CBLP) congruence modular algebras). A ideal a ring R is an fulfilling LIP. In recent paper, Tarizadeh Sharma obtained new results on rings. aim this paper to extend important part their congruences with CBLP semidegenerate algebras. reticulation such algebra will play role our investigations (recall that lattice L(A) whose prime spectrum homeomorphic Agliano's A). Almost all regarding are setting having property reticulations preserve center. contains several CBLP. Among we mention characterization theorem We achieve various conditions ensure Our can be applied lot structures: rings, MV-algebras, etc.