Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions

Hoger Ghahramani, Mohammad Nader Ghosseiri, Tahereh Rezaei and Ji Gao

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: Suppose that T=TriA,ℳ,ℬ is a 2-torsion free triangular ring, and S=A,B|AB=0,A,B∈T∪A,X|A∈T, X∈P,Q, where P is the standard idempotent of T and Q=I−P. Let δ:T⟶T be a mapping (not necessarily additive) satisfying, A,B∈S⇒δA∘B=A∘δB+δA∘B, where A∘B=AB+BA is the Jordan product of T. We obtain various equivalent conditions for δ, specifically, we show that δ is an additive derivation. Our result generalizes various results in these directions for triangular rings. As an application, δ on nest algebras are determined.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/9941760.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/9941760.xml (application/xml)

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:hin:jjmath:9941760

DOI: 10.1155/2022/9941760

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().