Multiplication algebra and maps determined by zero products
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Publication:5200316
DOI10.1080/03081087.2011.564580zbMath1262.15031OpenAlexW2090219605MaRDI QIDQ5200316
Publication date: 5 November 2012
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2011.564580
finite dimensional algebraslinear preserver problemsSkolem-Noether theoremzero products preserving maps
Related Items (20)
Linear mappings characterized by action on zero products or unit products ⋮ Finitary incidence algebras and idealizations ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Generalized skew derivations on triangular algebras determined by action on zero products ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Zero-product balanced algebras ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ Linear maps which are anti-derivable at zero ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Zero product preserving maps on matrix rings over division rings ⋮ Characterizations of centralizable mappings on algebras of locally measurable operators ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Characterizations of linear mappings through zero products or zero Jordan products ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ ON RINGS DETERMINED BY ZERO PRODUCTS ⋮ Zero Jordan product determined algebras ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\) ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X
Cites Work
- On bilinear maps on matrices with applications to commutativity preservers.
- Zero product determined matrix algebras
- Maps on simple algebras preserving zero products. I: The associative case
- Maps characterized by action on zero products.
- Generalized skew derivations characterized by acting on zero products.
- Zero product determined classical Lie algebras
- Maps preserving zero products
- Mappings preserving zero products
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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