1. (Generalized) Derivation on Hoop Algebras.
- Author
-
Namdar, A. and Borumand Saeid, A.
- Abstract
In this paper, we study the notion of derivation on hoop algebras and also the (isotone, contractive, ideal, regular, idempotent and perfect) derivation on hoop algebras. We state and prove some theorems, which determine the relationship between these notions and other types of derivations on hoop algebra. We also find the equivalent condition for isotone derivation. The notion of derivations by introducing the notion of generalized derivation is extended. Also, some results on generalized derivation in hoop algebras are discussed and some equivalent conditions are given. We study some properties of new derivation and investigate some related properties of them and show that the fixed point set of a good generalized ideal derivation is a hoop algebra. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF