Functional identities of degree 2 in triangular rings revisited

DOI10.1080/03081087.2013.877012zbMath1318.16022OpenAlexW2061213756MaRDI QIDQ2938358

Daniel Eremita

Publication date: 14 January 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.877012

zbMATH Keywords

functional identitiesnest algebrasextended centroidcommuting mapstriangular ringsupper triangular matrix ringsbiderivationsmaximal left rings of quotients

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nest algebras, CSL algebras (47L35) Functional identities (associative rings and algebras) (16R60)

Related Items (20)

Commuting traces of upper triangular matrix rings ⋮ Biderivations of triangular rings ⋮ On functional identities of degree 2 and centralizing maps in triangular rings ⋮ Functional identities on upper triangular matrix rings ⋮ Commuting (centralizing) traces and Lie (triple) isomorphisms on triangular algebras revisited. ⋮ Functional identities and their applications ⋮ Functional identities in upper triangular matrix rings. ⋮ Functional identities of degree 2 in rings with idempotents ⋮ Lie derivations of triangular algebras without assuming unity ⋮ Commuting maps on rank k triangular matrices ⋮ Nonadditive commuting maps of unital rings with idempotents ⋮ Generalized Lie (Jordan) triple derivations on arbitrary triangular algebras ⋮ Functional identities in upper triangular matrix rings revisited ⋮ Biderivations of triangular rings revisited ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Generalized Lie n-derivations of triangular algebras ⋮ On Jordan biderivations of triangular rings ⋮ Functional identities of degree 2 in arbitrary triangular rings. ⋮ A note on \(f\)-derivations of triangular algebras

Cites Work

• Unnamed Item
• Biderivations of triangular algebras.
• Generalized biderivations of nest algebras
• Commuting traces and commutativity preserving maps on triangular algebras.
• On generalized biderivations and related maps
• On biderivations of upper triangular matrix rings.
• Functional identities of degree 2 in triangular rings.
• Centralizing mappings and derivations in prime rings
• Commuting Maps of Triangular Algebras
• The Maximal Ring of Quotients of a Triangular Matrix Ring.
• Generalized derivations of left faithful rings

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