On Permutation Rho-Transitive in Permutation Rho-Algebras

Moataz Sajid  Sharqi; Shuker  Khalil

doi:10.24996/ijs.2024.65.7.32

Authors

Moataz Sajid Sharqi 1Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq / College of Oil and GasEngineering, Basrah University for Oil and Gas https://orcid.org/0000-0002-7899-6587
Shuker Khalil Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.7.32

Keywords:

Symmetric group, permutation sets, ρ-algebra, permutation ρ-algebra, permutation edge

Abstract

Some of the novel algebraic topics explored in this paper, like Permutation -algebra, permutation edge, permutation -transitive, permutation -ideal, permutation -ideal, and permutation -subalgebra are discussed and looked into. Additionally, permutation -algebra, permutation -morphism, equivalence relation with its congruence classes and quotient permutation -algebras were defined with specific results relating to our unique notions that have been developed and examined.