On skew derivations and antiautomorphisms in prime rings-Reference-Cited by-同舟云学术

On skew derivations and antiautomorphisms in prime rings

Published:2023-10-27 Issue:0 Volume:0 Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Alali Amal S.¹,Alnoghashi Hafedh²,Nisar Junaid³,ur Rehman Nadeem⁴,Alqarni Faez A.⁵

Affiliation:

1. Department of Mathematical Sciences , College of Science , Princess Nourah bint Abdulrahman University , P.O. Box 84428 , Riyadh 11671 , Saudi Arabia

2. Department of Computer Science , College of Engineering and Information Technology , Amran University , Amran , Yemen

3. Department of Applied Sciences , Symbiosis Institute of Technology , Symbiosis International University , Pune 412115 , India

4. Department of Mathematics , Aligarh Muslim University , Aligarh 202002 , India

5. Department of General Studies , University of Prince Mugrin (UPM) , Madinah 42311 , Saudi Arabia

Abstract

Abstract According to Posner’s second theorem, a prime ring is forced to be commutative if a nonzero centralizing derivation exists on it. In this article, we extend this result to prime rings with antiautomorphisms and nonzero skew derivations. Additionally, a case is shown to demonstrate that the restrictions placed on the theorems’ hypothesis were not unnecessary.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2082/pdf

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