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
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