(Generalized) Derivation On Hoop Algebras

In this paper, we intoduce the notion of derivation on hoop algebras and investigate some of its properties. We extend thisnotion by introducing the notion of generalized derivation. Also, some results on generalized derivation in hoop algebrasare discussed and give some equivalent conditions. We study some properties of a new derivation and investigate somerelated properties of them. We show that the fixed point set of a good ideal generalized derivation is a hoop algebra

کلیدواژه ها:

Hoop algebra ، derivation ، generalized derivation