Title of article :
Some types of derivations in bounded commutative residuated lattices
Author/Authors :
Keubeng Yemene, D.L Department of Mathematics and Computer Science - University of Dschang, Dschang, Cameroon , Diekouam Fotso, L.E Department of Mathematics - HTTC Maroua University of Maroua, Maroua, Cameroon , Akume, D Computer Science Department - HTTTC Kumba University of Buea, Cameroon
Abstract :
In this paper, the notion of mutiplicative derivation,
pseudo implicative derivation and implicative
derivation on a bounded commutative residuated lattice
are presented with some useful examples. We
generalized these notions of derivation by introducing
(f; g)-multiplicative derivation, (f; g)-pseudo implicative
derivation and (f; g)-implicative derivation, and
discussed some related properties; the conditions for
(f; g)-multiplicative derivation, (f; g)-pseudo implicative
derivation and (f; g)-implicative derivation to be monotone
are provided. The set of fixed points is defined
by using the notion of (f; g)-multiplicative derivation of
bounded commutative residuated lattices. We also analyzed
the link between different types of derivation.
Keywords :
(f; g)-derivation , set of fixed points , derivation , Boolean algebra , Bounded commutative residuated lattice
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
