Strong commutativity and Engel condition preserving maps in prime and semiprime rings
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Publication:2850986
DOI10.1080/03081087.2012.716433zbMath1281.16045OpenAlexW2017645940MaRDI QIDQ2850986
Vincenzo De Filippis, Giovanni Scudo
Publication date: 1 October 2013
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2012.716433
Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)
Related Items (39)
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Cites Work
- Strong commutativity preserving generalized derivations on right ideals.
- Generalized derivations with Engel condition on multilinear polynomials.
- Strong commutativity-preserving generalized derivations on semiprime rings.
- Strong commutativity preserving maps in prime rings with involution.
- The additive subgroup generated by a polynomial
- Differential identities of prime rings
- Lie ideals and derivations of prime rings
- Linear maps that preserve commuting pairs of matrices
- Prime nonassociative algebras
- A note on \(k\)-th commutators in an associative ring
- Commutativity-preserving maps on Lie ideals of prime algebras.
- Strong commutativity preserving maps on Lie ideals.
- Prime rings satisfying a generalized polynomial identity
- On the Lie structure of an associative ring
- Nonadditive Strong Commutativity Preserving Maps
- DERIVATIONS HAVING THE SAME POWER VALUES
- Strong commutativity preserving generalized derivations on Lie ideals
- Nonlinear Strong Commutativity Preserving Maps on Prime Rings
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- Generalized derivations of left faithful rings
- On Commutativity and Strong Commutativity-Preserving Maps
- Strong Commutativity Preserving Maps of Semiprime Rings
- FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE
- Derivations with Engel conditions on multilinear polynomials
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