A characterization of $ b- $generalized derivations on prime rings with involution

Mohd Arif Raza; Abdul Nadim Khan; Husain Alhazmi; Mohd Arif Raza; Abdul Nadim Khan; Husain Alhazmi

doi:10.3934/math.2022136

AIMS Mathematics

2022, Volume 7, Issue 2: 2413-2426. doi: 10.3934/math.2022136

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A characterization of $ b- $generalized derivations on prime rings with involution

1.
Department of Mathematics, College of Science and Arts-Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Received: 11 July 2021 Accepted: 08 November 2021 Published: 12 November 2021
MSC : 16W10, 16N60, 16W25

In this note, we characterize $ b- $generalized derivations which are strong commutative preserving (SCP) on $ \mathscr{R} $. Moreover, we also discuss and characterize $ b- $generalized derivations involving certain $ \ast- $differential/functional identities on rings possessing involution.
- prime ring,
- $ b- $generalized derivation,
- generalized polynomial identity (GPI)
Citation: Mohd Arif Raza, Abdul Nadim Khan, Husain Alhazmi. A characterization of $ b- $generalized derivations on prime rings with involution[J]. AIMS Mathematics, 2022, 7(2): 2413-2426. doi: 10.3934/math.2022136

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Abstract

In this note, we characterize $ b- $generalized derivations which are strong commutative preserving (SCP) on $ \mathscr{R} $. Moreover, we also discuss and characterize $ b- $generalized derivations involving certain $ \ast- $differential/functional identities on rings possessing involution.

References

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