Non-linear new product ½ (AB*C+CB*A) derivations on *-algebras

Let A be a prime -algebra with unit I and a nontrivial projection. Then the map : A ! A satises in the following condition (fABCg) = f(A)BCg + fA(B)Cg + fAB(C)g where fABCg = 1 2 (ABC + CBA) for all A;B;C 2 A, is additive. Moreover, if (I) is self-adjoint, then is a -derivation.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-03-24
DOI
https://doi.org/10.5269/bspm.65221
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Non-linear new product ½ (AB*C+CB*A) derivations on *-algebras

Fariba Kazemi
Boletim da Sociedade Paranaense de Matemática
Advanced Topics in Algebra
article

Non-linear new product ½ (AB*C+CB*A) derivations on *-algebras

Fariba Kazemi
article en

Abstract

Let A be a prime -algebra with unit I and a nontrivial projection. Then the map : A ! A satises in the following condition (fABCg) = f(A)BCg + fA(B)Cg + fAB(C)g where fABCg = 1 2 (ABC + CBA) for all A;B;C 2 A, is additive. Moreover, if (I) is self-adjoint, then is a -derivation.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Mazandaran (IR)
Openalex Percentile: Top 76%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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Non-linear new product ½ (AB*C+CB*A) derivations on *-algebras — Fariba Kazemi · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS