Abstract:The Lifting Idempotent Property (LIP ) of ideals in commutative rings inspired the study of Boolean lifting properties in the context of other concrete algebraic structures (M V -algebras, commutative l-groups, BLalgebras, bounded distributive lattices, residuated lattices,etc.), as well as for some types of universal algebras (C. Muresan and the author defined and studied the Congruence Boolean Lifting Property (CBLP ) for congruence modular algebras).A lifting ideal of a ring R is an ideal of R fulfilling LI… Show more
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