Nonlinear (skew-)centralizing mappings on unital algebras with nontrivial idempotents

Xinfeng Liang () and Haonan Guo ()
Additional contact information
Xinfeng Liang: AnHui University of Science & Technology
Haonan Guo: AnHui University of Science & Technology

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 4, 1416-1428

Abstract: Abstract Let $$\mathcal {R}$$ R be a commutative ring with unity, and $$\mathcal {A}$$ A be a unital $$\mathcal {R}$$ R -algebra with a nontrivial idempotent. Under some mild conditions, we prove that every nonlinear centralizing mapping on $$\mathcal {A}$$ A is proper. Nonlinear skew-centralizing mapping on $$\mathcal {A}$$ A is also studied in this paper.

Keywords: Centralizing mapping; Skew-centralizing mapping; Unital algebras with idempotengs; 16R60; 16W10; 15A78 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-024-00570-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:indpam:v:56:y:2025:i:4:d:10.1007_s13226-024-00570-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-024-00570-y

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().