A note on generalized derivations and left ideals of prime rings

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Sandhu Gurninder Singh; Boua Abdulkarim

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Journal Paper

Paper Information

Journal: Journal of Algebra and Related Topics Year:2024 | Volume:12 | Issue:1 Page(s): 89-103

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Title

A note on generalized derivations and left ideals of prime rings

Author(s)

Sandhu Gurninder Singh | Boua Abdulkarim | Issue Writer Certificate

Keywords

prime ring

left ideal

Derivation

generalized derivation

Abstract

Let $R$ be a prime ring and $Z(R)$ denotes the center of $R$. In this study, we expose the commutativity of $R$ as a consequence of specific differential identities involving Derivations acting on left ideals of $R$. Finally, we give examples that demonstrate the necessity of hypotheses taken in the theorems.

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