Exploring Commutativity via Generalized (α, β)-Derivations Involving Prime Ideals
The purpose of this article is to enhance the previous studies regarding the behavior of a quotient ring ℑ/℘, where ℘ is a prime ideal in a ring ℑ. In particular, we are going to explore more general scenarios whenever a ring ℑ admits a generalized (α,β)-derivation associated with an (α,β)-derivatio...
Gespeichert in:
Veröffentlicht in: | Mathematics (Basel) 2024-08, Vol.12 (15), p.2325 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | The purpose of this article is to enhance the previous studies regarding the behavior of a quotient ring ℑ/℘, where ℘ is a prime ideal in a ring ℑ. In particular, we are going to explore more general scenarios whenever a ring ℑ admits a generalized (α,β)-derivation associated with an (α,β)-derivation ∂ that satisfies certain criteria involving ℘, where α and β are automorphisms on ℑ. Moreover, we provide some examples to demonstrate the importance of the assumptions made in our results. |
---|---|
ISSN: | 2227-7390 2227-7390 |
DOI: | 10.3390/math12152325 |