n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices
Fabrice Tchoua Yinga, Blaise B. Koguep Njionou, Etienne Romuald Temgoua Alomo, Célestin Lélé · New Mathematics and Natural Computation · 2019
In this paper, we introduce the concepts of [Formula: see text]-fold boolean ideals, [Formula: see text]-fold implicative ideals and [Formula: see text]-fold integral ideals in residuated lattices and we state and prove their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of [Formula: see text]-fold ideal and [Formula: see text]-fold filter in residuated lattices.