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Characterization of Jordan two-sided centralizers and related maps on triangular rings

  • Amin Hosseini EMAIL logo , Shakir Ali and Mehdi Mohammadzadeh Karizaki
Published/Copyright: June 1, 2023
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Abstract

The main goal of this paper is to characterize Jordan two-sided centralizers, Jordan centralizers and related maps on triangular rings without identity. As an application of our main theorem, we characterize Jordan generalized derivations on triangular rings. Precisely, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. As consequences, and apart from proving the other results, many known theorems can be either generalized or deduced.

MSC 2020: 16W25; 47B47; 15A78

Funding statement: The research of the second named author is supported by SERB-DST MATRICS Project under Grant No. MTR/2019/000603, India.

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Received: 2022-07-17
Revised: 2022-11-10
Accepted: 2022-11-24
Published Online: 2023-06-01
Published in Print: 2023-10-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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