On the lie structure of the skew elements of a prime superalgebra with superinvolution

DOI10.1080/00927870008827024zbMath1121.17300OpenAlexW2003510029MaRDI QIDQ4489717

Carlos Gómez-Ambrosi, Jesús Laliena, Ivan Pavlovic Shestakov

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008827024

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) ``Super (or ``skew) structure (16W55)

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On the Extended Centroid of Prime Associative Superalgebras with Applications to Superderivations ⋮ Jordan Superhomomorphisms ⋮ Lie superhomomorphisms on Lie ideals in superalgebras ⋮ On the Lie structure of a prime associative superalgebra ⋮ Lie identities for skew and symmetric elements of semiprime superalgebras with superinvolution. ⋮ On a theorem of Brauer-Cartan-Hua type in superalgebras ⋮ Simple Lie color algebras from graded associative algebras ⋮ Functional identities in superalgebras. ⋮ Lie structure in semiprime superalgebras with superinvolution. ⋮ Supercentralizing Superderivations on Prime Superalgebras ⋮ Jordan Superhomomorphisms of Superalgebras ⋮ Regularity conditions on skew and symmetric elements in superalgebras with superinvolution ⋮ Lie superautomorphisms on associative algebras ⋮ Jordan Superderivations ⋮ Supercentralizing Maps in Prime Superalgebras ⋮ The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution ⋮ On Certain Semiprime Associative Superalgebras ⋮ Lie superhomomorphisms in superalgebras with superinvolution ⋮ Functional Identities and Lie Superhomomorphisms on Prime Superalgebras ⋮ Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular ⋮ Nilpotent superderivations in prime superalgebras ⋮ Ad-nilpotent elements of skew index in semiprime rings with involution

Cites Work

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• On the Lie structure of the skew elements of a simple superalgebra with superinvolution
• The Lie structure in prime rings with involution
• On the lie structure of associative superalgebras
• Nilpotent Inner Derivations of the Skew Elements of Prime Rings With Involution