Linear identities and commuting maps in rings with involution

DOI10.1080/00927879708826028zbMath0883.16022OpenAlexW1993694722MaRDI QIDQ4351703

Tsiu-Kwen Lee, Pjek-Hwee Lee

Publication date: 6 October 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826028

zbMATH Keywords

involutionssemiprime ringsprime ringsextended centroidsadditive mapsbiadditive maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

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FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ FUNCTIONAL IDENTITIES IN JORDAN ALGEBRAS: ASSOCIATING MAPS ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ On centralizing additive maps on rank one triangular matrices over division rings ⋮ Additiven-commuting maps on semiprime rings ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ Commuting maps on rank one triangular matrices ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ On functional identities in prime rings with involution ⋮ 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 ⋮ Commuting additive maps on tensor products of matrices

Cites Work

• Lie Isomorphisms of Prime Rings
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