$\mathscr{T}$-Commuting Generalized Derivations on Ideals and Semi-Prime Ideal

Autor: Nadeem ur Rehman, Hafedh M. Alnoghashi
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.64223
Popis: This paper's primary goal is to look at a quotient ring $\mathscr{A}/\mathscr{T}$ structure, where $\mathscr{A}$ is an arbitrary ring and $\mathscr{T}$ is a semi-prime ideal of $\mathscr{A}$. More precisely, we examine the differential identities in a semi-prime ideal of an arbitrary ring involving $\mathscr{T}$-commuting generalized derivation. Furthermore, examples are given to prove that the restrictions imposed on the hypothesis of the various theorems were not superfluous.
Databáze: Directory of Open Access Journals