Non-Linear λ-Jordan Triple Derivation on Prime Algebras

Let A be a prime ∗−algebra and Φ a λ−Jordan triple deriva- tion on A, that is, for every A, B, C ∈ A, Φ(A ⋄ B) = Φ(A) ⋄ B + A ⋄ Φ(B) wher A ⋄λ B = AB∗ + λBA such that a real scalar |λ| ̸= 0, 1, and Φ is addi- tive. moreover, if Φ(I) and Φ(il) are selfadjiont then Φ is a ∗−derivation

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Publication Details

Journal
Journal for Research in Applied Sciences and Biotechnology
Published
2024-11-12
DOI
https://doi.org/10.55544/jrasb.3.5.31
Primary Topic
Advanced Topics in Algebra
Type
article
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0.00
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article

Non-Linear λ-Jordan Triple Derivation on Prime Algebras

Sebghatullah Rahimi, Shuja Kaheshzad, Ahmad ramin Rahnaward
Journal for Research in Applied Sciences and Biotechnology
Advanced Topics in Algebra
article

Non-Linear λ-Jordan Triple Derivation on Prime Algebras

Sebghatullah Rahimi, Shuja Kaheshzad, Ahmad ramin Rahnaward
article en

Abstract

Let A be a prime ∗−algebra and Φ a λ−Jordan triple deriva- tion on A, that is, for every A, B, C ∈ A, Φ(A ⋄ B) = Φ(A) ⋄ B + A ⋄ Φ(B) wher A ⋄λ B = AB∗ + λBA such that a real scalar |λ| ̸= 0, 1, and Φ is addi- tive. moreover, if Φ(I) and Φ(il) are selfadjiont then Φ is a ∗−derivation

Journal for Research in Applied Sciences and BiotechnologyVol. 3(5)
Kabul University (AF), Tabaran Institute of Higher Education (IR), Fundació Lluita contra les Infeccions (ES)
Openalex Percentile: Top 57%
Advanced Topics in Algebra
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