Hyper-Homomorphisms in Obic Algebras

  • E. Ilojide
  • O. O. George
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.

 

Published
2025-08-13
How to Cite
Ilojide, E., & George, O. O. (2025). Hyper-Homomorphisms in Obic Algebras. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(2), 19 -28. Retrieved from https://ijmso.unilag.edu.ng/article/view/2697
Issue
Vol 11 No 2 (2025)
Section
Articles

Copyright (c) 2025 Author

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