$\mathscr{T}$-Commuting Generalized Derivations on Ideals and Semi-Prime Ideal
Autor: | Nadeem ur Rehman, Hafedh M. Alnoghashi |
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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 |
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