Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
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Publication:2350303
DOI10.1016/j.laa.2014.04.004zbMath1328.15003OpenAlexW2053605150WikidataQ57787584 ScholiaQ57787584MaRDI QIDQ2350303
Tsiu-Kwen Lee, Yiqiang Zhou, Muhammet Tamer Koşan
Publication date: 19 June 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2014.04.004
Prime and semiprime associative rings (16N60) Linear transformations, semilinear transformations (15A04) Basic linear algebra (15A99) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (11)
Two-sided zero product determined algebras ⋮ Functional identities and Jordan σ-derivations ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Characterizations of linear mappings through zero products or zero Jordan products ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ Sesquilinear functionals on matrix algebras with involution ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ Two-sided zero product properties on symmetric algebras ⋮ Zero Jordan product determined algebras ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X
Cites Work
- Unnamed Item
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- Additive maps on rings behaving like derivations at idempotent-product elements.
- Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products.
- Derivations modulo elementary operators.
- Lengths of central linear generalized polynomials in matrix algebras
- On maps preserving zero Jordan products.
- Characterizations of isomorphisms and derivations of some algebras
- Zero product preserving maps on \(C^1[0,1\)]
- Zero product determined matrix algebras
- On bilinear maps determined by rank one idempotents
- On invariant additive subgroups
- Maps characterized by action on zero products.
- Generalized skew derivations characterized by acting on zero products.
- Zero product determined some nest algebras
- Prime rings satisfying a generalized polynomial identity
- Maps preserving zero Jordan products on Hermitian operators.
- Jordan zero-product preserving additive maps on operator algebras
- Zero product determined Jordan algebras, I
- Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products
- Characterization of Lie Derivations on Prime Rings
- Linear maps Lie derivable at zero on J-subspace lattice algebras
- Characterisations of derivations on some operator algebras
- Generalized skew derivations on nest algebras characterized by acting on zero products
- Characterizing Jordan maps on C*-algebras through zero products
- Multiplication algebra and maps determined by zero products
- JORDAN *-DERIVATIONS OF PRIME RINGS
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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