Quotient rings satisfying some identities

Mohammadi El Hamdaoui; Abdelkarim Boua

doi:10.56754/0719-0646.2503.455

DOI:

https://doi.org/10.56754/0719-0646.2503.455

Abstract

This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\). We provide some results for strong commutativity-preserving derivations of prime rings.

Keywords

Derivations , prime ideals , prime rings

Mathematics Subject Classification:

13N15 , 16N40 , 16N60 , 16U10 , 16W25

Mohammadi El Hamdaoui Department of Mathematics, Polydisciplinary Faculty, LSI, Taza, Sidi Mohammed Ben Abdellah University, Fes, Morocco.
Abdelkarim Boua Department of Mathematics, Polydisciplinary Faculty, LSI, Taza, Sidi Mohammed Ben Abdellah University, Fes, Morocco. https://orcid.org/0000-0002-6397-4713

Pages: 455–465
Date Published: 2023-12-29
Vol. 25 No. 3 (2023)

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