On maps characterized by action on equal products
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Publication:1663515
DOI10.1016/j.jalgebra.2018.06.022zbMath1447.16014OpenAlexW2810631309MaRDI QIDQ1663515
Publication date: 21 August 2018
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.06.022
Automorphisms and endomorphisms (16W20) Infinite-dimensional and general division rings (16K40) Functional identities (associative rings and algebras) (16R60)
Related Items (14)
Linear bijective maps preserving fixed values of products of matrices at fixed vectors ⋮ On maps preserving products equal to fixed elements ⋮ Weighted Jordan homomorphisms ⋮ On a functional identity involving inverses on matrix rings ⋮ Functional identities on Banach algebras and matrix rings ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ On maps preserving products of matrices ⋮ Linear bijective maps preserving fixed products of matrices ⋮ Unnamed Item ⋮ Identities with inverses on matrix rings ⋮ Pairs of linear maps on matrix spaces preserving products equal to fixed elements ⋮ Linear maps preserving products equal to primitive idempotents of an incidence algebra ⋮ On maps preserving products equal to a rank-one idempotent ⋮ On maps preserving rank-one nilpotents
Cites Work
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- All-derivable points in matrix algebras
- Maps characterized by action on zero products.
- Generalized skew derivations characterized by acting on zero products.
- Local derivations
- All-derivable points of operator algebras
- Jordan Homomorphisms
- Jordan Homomorphisms Onto Prime Rings
- On Maps Preserving Products
- Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
- On a certain functional identity involving inverses
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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