Some results involving P-derivations and prime ideals in rings

Some results involving P-derivations and prime ideals in rings

Let R be any arbitrary associative ring and P be a prime ideal of R. In this article, we define and study the notion of P-derivation, generalized P-derivation and P-multiplier. We present theorems on the structure of the factor ring R/P and the description of these mappings in some specific situatio...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2023-11, Vol.69 (2), p.587-604
Hauptverfasser: Sandhu, Gurninder S., Boua, Abdelkarim, Ur Rehman, Nadeem
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Derivation
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
Rings (mathematics)
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Zusammenfassung:Let R be any arbitrary associative ring and P be a prime ideal of R. In this article, we define and study the notion of P-derivation, generalized P-derivation and P-multiplier. We present theorems on the structure of the factor ring R/P and the description of these mappings in some specific situations.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-022-00453-2