Hyper-Homomorphisms in Obic Algebras

In this paper, hyper-homomorphisms of Obic algebras which are generalizations of homomor phisms in Obic algebras are introduced. Their properties are investigated. It is shown that homomorphisms of Obic algebras preserve oscillation. Furthermore, it is established that with a suitably defined binary operation, the collection of hyper-homomorphisms in Obic algebras is also an Obic algebra. Moreover, monics, regular and preserving maps of Obic algebras are studied through their hyper-homomorphisms.