Commutativity of prime rings with symmetric generalized biderivations

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A prime ring with a nonzero ideal and a symmetric generalized biderivation is commutative if the biderivation satisfies specific identities, generalizing prior mathematical results. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Muzibur Rahman Mozumder; Wasim Ahmed; Md Arshad Madni

doi:10.47743/anstim.2023.00012

January 1, 2023Annals of the Alexandru Ioan Cuza University - MathematicsOpen Access

Commutativity of prime rings with symmetric generalized biderivations

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Abstract

In this manuscript we have generalized the result of B. R. Reddy and C. J. S. Reddy [8].We have taken R to be a prime ring with nonzero ideal I of R and G be a symmetric generalized biderivation of R. We have investigated the commutativity of R if G satisfies any one of the given identities

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Mozumder et al. (2023) studied this question.

synapsesocial.com/papers/6aaa689523cbbef1a7a8894b https://doi.org/10.47743/anstim.2023.00012

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Commutativity of prime rings with symmetric generalized biderivations

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Abstract

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Commutativity of prime rings with symmetric generalized biderivations

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