Hyper-Homomorphisms of Obic Algebras

E.  Ilojide; O. F.  George

E. Ilojide Department of Mathematics, Federal University of Agriculture, Abeokuta 110101, Nigeria
O. F. George Department of Mathematics, University of Lagos, Akoka Lagos, Nigeria

Keywords: Obic Algebras, Homomorphism, Hyper-Homomorphism

Abstract

In this paper, hyper-homomorphisms of Obic algebras which are generalizations of homomorphisms 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.

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