Supercentralizing Maps in Prime Superalgebras

DOI10.1080/00927870802271672zbMath1171.16018OpenAlexW2117499283MaRDI QIDQ3619827

Yu Wang, Pjek-Hwee Lee

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802271672

zbMATH Keywords

additive mapsprime superalgebrasPosner theoremsupercentralizing mapsgraded-prime superalgebrasgraded-simple superalgebrassupercenterssupercentralizing superderivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) ``Super (or ``skew) structure (16W55)

Related Items (15)

Commuting maps on alternative rings ⋮ On the Centralizers of Derivations with Engel Conditions ⋮ Lie superhomomorphisms on Lie ideals in superalgebras ⋮ Additiven-commuting maps on semiprime rings ⋮ Derivations cocentralizing multilinear polynomials on left ideals. ⋮ Functional identities in superalgebras. ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ \(k\)-commuting maps on triangular algebras ⋮ AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS ⋮ Jordan Superhomomorphisms of Superalgebras ⋮ Lie superderivations of superalgebras ⋮ Characterization of \(k\)-commuting additive maps on rings. ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Lie superhomomorphisms in superalgebras with superinvolution ⋮ Functional Identities and Lie Superhomomorphisms on Prime Superalgebras

Cites Work

• Unnamed Item
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• PI-algebras. An introduction
• On the Lie structure of the skew elements of a simple superalgebra with superinvolution
• Centralizing maps in prime rings with involution
• Constructing simple Lie superalgebras from associative graded algebras
• On graded polynomial identities with an antiautomorphism
• Centralizing mappings and derivations in prime rings
• On the Extended Centroid of Prime Associative Superalgebras with Applications to Superderivations
• Centralizing Mappings of Prime Rings
• On the lie structure of associative superalgebras
• When Is a Graded PI Algebra a PI Algebra?
• Jordan Superderivations
• On the lie structure of the skew elements of a prime superalgebra with superinvolution
• Jordan Superhomomorphisms
• Supercentralizing Superderivations on Prime Superalgebras

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