FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE
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Publication:4532335
DOI10.1081/AGB-120013192zbMath1015.16028OpenAlexW2021173324MaRDI QIDQ4532335
Matej Brešar, Kostia I. Beidar, Mikhail A. Chebotar
Publication date: 23 April 2003
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/agb-120013192
semiprime ringsLie mapsstandard identitiesfunctional identitiesmaximal rings of quotientsfractional degreesstrong degrees
Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Jordan mappings of semiprime rings
- Jordan homomorphisms of associative algebras with involution
- Jordan homomorphisms onto nondegenerate Jordan algebras
- On operators preserving commutativity
- The Zelmanov approach to Jordan homomorphisms of associative algebras
- Jordan homomorphisms of semiprime rings
- Linear maps that preserve commuting pairs of matrices
- On generalized functional identities on prime rings
- On functional identities in prime rings with involution
- Generalized functional identities with (anti-)automorphisms and derivations on prime rings. I
- On additive isomorphisms of prime rings preserving polynomials
- Centralizing maps in prime rings with involution
- Local derivations, automorphisms and commutativity preserving maps on \({\mathcal L}^ +({\mathcal D})\)
- Lie isomorphisms in prime rings with involution
- Commuting traces of multiadditive mappings
- On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras
- Differential identities, Lie ideals, and Posner's theorems
- Linear maps preserving commutativity
- Functional identities of degree two
- On generalized biderivations and related maps
- On a certain identity satisfied by a derivation and an arbitrary additive mapping. II
- Lie derivations of the skew elements of prime rings with involution
- Centralizing mappings and derivations in prime rings
- ON SURJECTIVE LIE HOMOMORPHISMS ONTO LIE IDEALS OF PRIME RINGS
- Commutativity preserving mappings on semiprime rings
- Lie and Jordan structures in simple associative rings
- Commutativity Preserving Maps of Factors
- Lie and Jordan Mappings
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- Linear transformations on matrices: The invariance of commuting pairs of matrices
- Invariants of linear maps on matrix algebras
- On a certain functional identity in prime rings*
- Lie isomorphisms of non-gpi rings wiht involution
- On lie isomorphisms in prime rings with involution
- Lie Derivations in Prime Rings With Involution
- AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C*-ALGEBRAS
- Commutativity Preserving Mappings of Von Neumann Algebras
- Strong Commutativity Preserving Maps of Semiprime Rings
- An Engel condition with derivation for left ideals
- Linear identities and commuting maps in rings with involution
- Maps preservingnthpowers1
- On additive maps of prime rings satisfying the engel condition
- On functional identities and commuting additive mappings
- On functional identities in left ideals of prime rings
- On Functional Identities in Prime Rings with Involution II*
- On functional identities andd-free subsets of rings, I
- On functional identities andd-free subsets of rings. II
- On additive maps of prime rings
- Cohomology of the brieskorn-orlik-solomon algebras
- On skew-commuting mappings of rings
