Maps characterized by action on zero products.
From MaRDI portal
Publication:1764370
DOI10.2140/pjm.2004.216.217zbMath1078.16034OpenAlexW2053513691MaRDI QIDQ1764370
Wen-Fong Ke, Pjek-Hwee Lee, Mikhail A. Chebotar
Publication date: 24 February 2005
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2004.216.217
Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25)
Related Items (74)
Characterizing linear maps of standard operator algebras through orthogonality ⋮ Lie triple derivations on von Neumann algebras ⋮ Additive mappings derivable at non-trivial idempotents on Banach algebras ⋮ CHARACTERIZATIONS OF JORDAN DERIVATIONS ON STRONGLY DOUBLE TRIANGLE SUBSPACE LATTICE ALGEBRAS ⋮ Preserving Zeros ofxyandxy* ⋮ On Maps Determined by Zero Products ⋮ Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras ⋮ On maps preserving square-zero matrices. ⋮ On maps preserving zero Jordan products. ⋮ Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product ⋮ Anti-derivable linear maps at zero on standard operator algebras ⋮ On maps characterized by action on equal products ⋮ On derivable mappings ⋮ On maps preserving products equal to fixed elements ⋮ Lie superhomomorphisms on Lie ideals in superalgebras ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Approximately zero-product-preserving maps ⋮ Characterizations of isomorphisms and derivations of some algebras ⋮ Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point ⋮ Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products. ⋮ Zero-product balanced algebras ⋮ Conjugate linear maps from \(C^*\)-algebras into their dual spaces which are ternary derivable at the unit element ⋮ Lie Centralizers and generalized Lie derivations on prime rings by local actions ⋮ A characterization of derivations of JSL algebras ⋮ Characterization of Lie-type higher derivations of triangular rings ⋮ Derivable maps and derivational points ⋮ Functional identities and their applications ⋮ On maps preserving products of matrices ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Maps determined by action on identity-product elements ⋮ Unnamed Item ⋮ Linear maps characterized by the action on square-zero elements ⋮ Tri-additive maps and local generalized \((\alpha,\beta)\)-derivations ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ Derivations modulo elementary operators. ⋮ A characterization of generalized Jordan derivations on Banach algebras ⋮ CHARACTERIZATIONS OF HIGHER DERIVATIONS AND JORDAN HIGHER DERIVATIONS ON CSL ALGEBRAS ⋮ On the fourier algebra of certain hypergroups ⋮ Weight-preserving isomorphisms between spaces of continuous functions: the scalar case ⋮ On mappings preserving zero products ⋮ Characterizations of Lie derivations of factor von Neumann algebras ⋮ Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements ⋮ Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero ⋮ Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements ⋮ Maps acting on some zero products ⋮ Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action ⋮ Derivations on the algebra of operators in Hilbert \(C^*\)-modules ⋮ Additive maps on rings behaving like derivations at idempotent-product elements. ⋮ Maps Preserving Zeros ofxy* ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of Lie derivations of triangular algebras. ⋮ A characterization of generalized derivations of JSL algebras ⋮ Hyperreflexivity of the derivation space of some group algebras ⋮ Nonlinear bijective maps on strictly upper triangular matrices preserving zero product ⋮ A characterization of algebras generated by idempotents ⋮ Multiplication algebra and maps determined by zero products ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Range-Inclusive Maps in Rings with Idempotents ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Characterizations of derivations and Jordan derivations on Banach algebras ⋮ 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 ⋮ On maps preserving zeros of Lie polynomials of small degrees ⋮ Characterizations of Lie derivations of \(B(X)\) ⋮ ON RINGS DETERMINED BY ZERO PRODUCTS ⋮ Linear maps on standard operator algebras characterized by action on zero products ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\) ⋮ A Note on Maps Characterized by Actions on Zero Products ⋮ On maps preserving products equal to a rank-one idempotent ⋮ On maps preserving rank-one nilpotents ⋮ On maps preserving products equal to a diagonalizable matrix ⋮ 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 ⋮ Characterization of derivations on reflexive algebras
This page was built for publication: Maps characterized by action on zero products.