Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations

Mingxing Sui and Quanyuan Chen ()
Additional contact information
Mingxing Sui: School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, China
Quanyuan Chen: School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, China

Mathematics, 2024, vol. 12, issue 14, 1-12

Abstract: In the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized. Moreover, we provide some examples to testify that the assumed restriction in our theorems cannot be omitted.

Keywords: generalized derivations; prime ring; involution; commutativity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/14/2286/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/14/2286/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:14:p:2286-:d:1440224

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().