Some Generalized Derivations on n-ary Multiplicative Semilattices
Annual Meeting in Mathematics 2023
Keywords:
semilattice, multiplicative semilattice, derivation, (f, g)-derivationAbstract
In this paper, we introduce a generalization of derivation on n-ary multiplicative semilattices; namely permuting n-(f, g)-derivation, and investigate some related properties. Moreover, we study the notion of trace of permuting n-(f, g)-derivation in multiplicative semilattices and we also obtain some results concerning identities with traces and permuting n-(f, g)-derivation in multiplicative semilattices.