What question did this study set out to answer?

The central aim is to explore commutativity in unital 2-torsion-free prime rings with involution through identities involving generalized derivations.

April 17, 2026SymmetryOpen Access

The Commutativity of Prime *-Rings with Generalized Derivations

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Authors

WZWenqing ZouJingdezhen Ceramic Institute QCQuanyuan ChenJingdezhen Ceramic Institute 郑郑润东Obuda University

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Uncovers commutativity in prime rings using identities involving generalized derivations, suggesting new insights in ring theory.

Key Points

The central aim is to explore commutativity in unital 2-torsion-free prime rings with involution through identities involving generalized derivations.
Studied unital 2-torsion-free prime rings with involution of the second kind.
Investigated identities related to generalized derivations on these rings.
Analyzed the relationships between derivations and involutions using Lie and Jordan products.
Established new commutativity theorems for prime rings with generalized derivations.
Demonstrated that identities involving generalized derivations imply commutativity of the underlying ring.
Extended existing results in the field of ring theory.

Cite This Study

Zou et al. (2026) studied this question.

synapsesocial.com/papers/69e1cfe05cdc762e9d858d8c https://doi.org/10.3390/sym18040661

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The Commutativity of Prime *-Rings with Generalized Derivations

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Key Points

Cite This Study

The Commutativity of Prime *-Rings with Generalized Derivations

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Member takes

Implication

Key Points

Cite This Study

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