Maps preserving triple product on rings

DOI10.22103/jmmrc.2021.16645.1124zbMath1500.47057OpenAlexW3203027951MaRDI QIDQ5077528

Roja Hosseinzadeh, Ali Taghavi

Publication date: 18 May 2022

Full work available at URL: https://jmmrc.uk.ac.ir/article_2901_73e9a4973b6ec51a9a39abe5ed111e5c.pdf

zbMATH Keywords

ringpreserver problemtriple productnon-trivial idempotent

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Nonlinear maps preserving the Jordan triple 1-\(*\)-product on von Neumann algebras
• Transformations of the unitary group on a Hilbert space
• Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras
• Nonlinear maps preserving Lie products on factor von Neumann algebras
• Continuous maps preserving Jordan triple products from \(\mathbb{GL}_n(\mathbb{C})\) into \(\mathbb{C}^\ast\)
• Maps preserving strong skew Lie product on factor von Neumann algebras
• \({\ast}\)-Jordan-triple multiplicative surjective maps on \(\mathcal B(H)\)
• Additivity of maps preserving Jordan triple products on prime \(C^*\)-algebras
• On isomorphisms of standard operator algebras
• Strong (skew) ξ-Lie commutativity preserving maps on algebras
• Maps preserving productX*Y + YX* on factor von Neumann algebras
• Maps preserving triple product A∗B + BA∗ on ∗-algebras
• MAPS PRESERVING η-PRODUCT A^⁎B+ηBA^⁎ ON C^⁎-ALGEBRAS
• Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras
• When are Multiplicative Mappings Additive?

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