n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices.

Autor: Tchoua Yinga, Fabrice, Koguep Njionou, Blaise B., Temgoua Alomo, Etienne R., Lele, Celestin
Předmět:
Zdroj: New Mathematics & Natural Computation; Nov2019, Vol. 15 Issue 3, p427-445, 19p
Abstrakt: In this paper, we introduce the concepts of n -fold boolean ideals, n -fold implicative ideals and n -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 n -fold ideal and n -fold filter in residuated lattices. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index