Pseudo Rho-Algebras in Fields with their Applications Using Polynomials with Two Variables

Authors

  • Azeez Lafta Jaber Department of Mathematics, College of ScienceUniversity of Basrah, Basrah 61004, Iraq https://orcid.org/0000-0003-2569-7791
  • Shuker Mahmood Khalil Department of Mathematics, College of ScienceUniversity of Basrah, Basrah 61004, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.9.25

Keywords:

ρ-algebras, homomorphisms, pseudo d-algebras, polynomials

Abstract

The main purpose of this work is to present the concept of pseudo Rho-algebra as a generalization of the Rho-algebra. We investigate this type behaves nicely in terms of common mappings like homomorphisms and direct products. In fact, we can show identify kernel objects and the fundamental theorem of homomorphisms using Rho-ideals in this theory. Also, some important classes of pseudo Rho-algebra  and their applications are investigated and studied. Moreover, the necessary characteristics for or tantamount to membership in major subtypes of pseudo Rho/d-algebras under these cases are identified. The Rho/d-algebras and pseudo Rho/d-algebras are generated using some new classes of polynomials with two variables that are introduced in this work, like commutative identical, associative identical, regular identical, proper conditionally identical, and improper conditionally identical. Finally, the category of pseudo Rho/d-algebras can be classified using a conditionally couple, giving us additional flexibility in dealing with two different fields.

Downloads

Published

2024-09-30

Issue

Section

Mathematics

How to Cite

Pseudo Rho-Algebras in Fields with their Applications Using Polynomials with Two Variables. (2024). Iraqi Journal of Science, 65(9), 5095-5107. https://doi.org/10.24996/ijs.2024.65.9.25

Similar Articles

1-10 of 100

You may also start an advanced similarity search for this article.