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2024 | OriginalPaper | Chapter

Results on Generalized Skew Bi-Semiderivation in Prime Rings

Authors : Faiza Shujat, Abu Zaid Ansari

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

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Abstract

Let \(\mathcal {R}\) be a prime ring of \(char\ne 2, 3\), \(\mathcal {D}\) a symmetric skew bi-semiderivation of \(\mathcal {R}\) associated with automorphism \(\alpha \) and \(\varDelta \) be a symmetric generalized skew bi-semiderivation associated with \(\alpha , f, \mathcal {D}\), where f is surjective map and \(\alpha \) is an automorphism. If \(x\varDelta (x,x)=0\) for all \(x\in \mathcal {R}\), then \(\varDelta =0\).

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previous chapter Results on b-Generalized Derivations in Rings
next chapter Commuting Iterates of Generalized Derivations on Lie Ideals
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Metadata
Title
Results on Generalized Skew Bi-Semiderivation in Prime Rings
Authors
Faiza Shujat
Abu Zaid Ansari
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_22

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