Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX
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Publication:4978404
DOI10.1080/00927872.2016.1236937zbMath1395.16021OpenAlexW2536258200WikidataQ57787475 ScholiaQ57787475MaRDI QIDQ4978404
Publication date: 10 August 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2016.1236937
idempotentprime ringfunctional identitymaximal left ring of quotients\(\xi\)-Lie productbi-additive mapzero-product preserving
Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)
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On n-generalized commutators and Lie ideals of rings ⋮ Centralizers and Jordan triple derivations of semiprime rings ⋮ Anti-endomorphisms and endomorphisms satisfying an Engel condition ⋮ Two-sided zero product properties on symmetric algebras ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X ⋮ Characterization of higher commutators
Cites Work
- Unnamed Item
- Unnamed Item
- Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products.
- Derivations modulo elementary operators.
- Zero product determined matrix algebras
- Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras
- On bilinear maps determined by rank one idempotents
- Characterizations of derivations on some normed algebras with involution
- On functional identities in prime rings with involution
- Biseparating maps between operator algebras.
- Maps characterized by action on zero products.
- Generalized skew derivations characterized by acting on zero products.
- Zero product determined some nest algebras
- Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
- 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
- Extension of derivations to central simple algebras
- Commutativity up to a factor of bounded operators in complex Hilbert space
- 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
- Some results on the center of a ring with polynomial identity
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents