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2024 | OriginalPaper | Chapter

Algebraic Identities on Prime and Semiprime Rings

Authors : Abu Zaid Ansari, Faiza Shujat

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

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Abstract

The goal of this scientific research is to show that an additive mapping \(\mathcal {T}\) from a prime ring R to itself is a centralizer with an appropriate torsion restriction on R if it fulfills some algebraic identities. Furthermore, certain real instances are used to validate these findings.

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previous chapter Non-global Multiplicative Lie Triple Derivations on Rings
next chapter Generalized Derivations with Periodic Values on Prime Rings
Literature
1.
Ansari, A.Z., Shujat, F.: Characterization of additive mappings on prime rings, preprint (2023)
2.
Beidar, K.I., Martindale, W.S., Mikhalev, A.V.: Rings with generalized identities. Markel Dekker Inc., New York (1996)
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7.
Vukman, J.: An identity related to centralizers in semiprime rings. Commentationes Mathematicae Universitatis Carolinae 40(3), 447–456 (1999)MathSciNet
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12.
Zalar, B.: On centralizers of semiprime rings. Commentationes Mathematicae Universitatis Carolinae 32, 609–614 (1991)MathSciNet
Metadata
Title
Algebraic Identities on Prime and Semiprime Rings
Authors
Abu Zaid Ansari
Faiza Shujat
Copyright Year
2024
Book
Advances in Ring Theory and Applications

Print ISBN: 978-3-031-50794-6

Electronic ISBN: 978-3-031-50795-3

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50795-3_16

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