Remarks on Ultrasemiprime algebras

Mohammed Th. Al-Neima; Ruqayah N. Balo; Nadia Adnan Abdalrazaq

doi:10.24996/ijs.2022.63.10.23

Authors

Mohammed Th. Al-Neima Department of Civil Engineering, College of Engineering, University of Mosul, Iraq https://orcid.org/0000-0002-6591-0123
Ruqayah N. Balo Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Iraq
Nadia Adnan Abdalrazaq Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.10.23

Keywords:

Ultraprime algebra, Ultrasemiprime algebra, Direct product of algebras

Abstract

Every finite dimensional normed algebra is isomorphic to the finite direct product of or , it is also proved these algebras are ultrasemiprime algebras. In this paper, the ultrasemiprime proof of the finite direct product of and is generalized to the finite direct product of any ultrasemiprime algebras.