Characterizing homomorphisms, derivations and multipliers in rings with idempotents
From MaRDI portal
Publication:5756816
DOI10.1017/S0308210504001088zbMath1130.16018OpenAlexW2077135809MaRDI QIDQ5756816
Publication date: 5 September 2007
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210504001088
idempotentshomomorphismsprime ringsadditive mapslocal derivationslocal multiplierszero-product conditions
Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25)
Related Items (94)
Linear mappings characterized by action on zero products or unit products ⋮ On Jordan and Jordan higher derivable maps of rings ⋮ Lie maps on triangular algebras without assuming unity ⋮ 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 ⋮ On a Problem of Brešar ⋮ On Maps Determined by Zero Products ⋮ A survey on local and 2-local derivations on C*- and von Neuman algebras ⋮ Jordan and Jordan higher all-derivable points of some algebras ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Equivalent characterization of centralizers on \(\mathcal B(H)\) ⋮ 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 ⋮ Generalized skew derivations on triangular algebras determined by action on zero products ⋮ Lie centralizers at zero products on a class of operator algebras ⋮ On derivable mappings ⋮ On maps preserving products equal to fixed elements ⋮ Equivalent characterization of derivations on operator algebras ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ On \(\varepsilon\)-derivations and local \(\varepsilon\)-derivations ⋮ Isomorphisms and generalized 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. ⋮ Lie centralizers at the zero products on generalized matrix algebras ⋮ Characterization of Lie derivations on von Neumann algebras ⋮ Zero-product balanced algebras ⋮ Characterization of \(n\)-Jordan homomorphisms and their automatic continuity on Banach 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 ⋮ Generalized derivable mappings and centralizable mappings on B(X) ⋮ A characterization of derivations of JSL algebras ⋮ Characterization of Lie-type higher derivations of triangular rings ⋮ Local derivations of classical simple Lie algebras ⋮ Derivable maps and derivational points ⋮ Lie centralizers and generalized Lie derivations at zero products ⋮ Functional identities on Banach algebras and matrix rings ⋮ Centralizer-like additive maps on the Lie structure of Banach algebras ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ Functional identities of degree 2 in rings with idempotents ⋮ Unnamed Item ⋮ On maps preserving products of matrices ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Characterizing derivations on von Neumann algebras by local actions ⋮ Unnamed Item ⋮ 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 ⋮ Local Generalized Derivations in Prime Rings with Idempotents ⋮ Local derivations on subalgebras of \(\tau\)-measurable operators with respect to semi-finite von Neumann algebras ⋮ Characterizations of Lie derivations of factor von Neumann algebras ⋮ Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements ⋮ Local Lie derivations of factor von Neumann algebras ⋮ 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 ⋮ Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action ⋮ Additive maps on rings behaving like derivations at idempotent-product elements. ⋮ Characterizations of Lie derivations of triangular algebras. ⋮ Linear mappings derivable at some nontrivial elements ⋮ Hyperreflexivity of the derivation space of some group algebras ⋮ On centralizers of Banach algebras ⋮ Unnamed Item ⋮ Left derivable maps at non-trivial idempotents on nest algebras ⋮ Characterization of centralizers on nest subalgebras of von Neumann algebras by local action ⋮ Characterizations of centralizable mappings on algebras of locally measurable operators ⋮ Local maps and the representation theory of operator algebras ⋮ Multiplication algebra and maps determined by zero products ⋮ On local Lie derivations of generalized matrix algebras ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ On \((m,n)\)-derivations of some algebras ⋮ Characterizations of linear mappings through zero products or zero Jordan products ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Characterizations of derivations and Jordan derivations on Banach algebras ⋮ Ternary derivations of nest algebras ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ AN IDENTITY WITH GENERALIZED DERIVATIONS ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations ⋮ Characterization of Lie Derivations on Prime Rings ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ On maps preserving zeros of Lie polynomials of small degrees ⋮ Characterizations of Lie derivations of \(B(X)\) ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ ON RINGS DETERMINED BY ZERO PRODUCTS ⋮ Linear maps on standard operator algebras characterized by action on zero products ⋮ On maps preserving products equal to a rank-one idempotent ⋮ Zero Jordan product determined algebras ⋮ On Lie-type derivations of rings and standard operator algebras by local actions ⋮ 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 ⋮ On Jordan centralizers of triangular algebras
This page was built for publication: Characterizing homomorphisms, derivations and multipliers in rings with idempotents