Open AccessInner ideals of Lie algebras of skew elements of prime rings with involution
Author(s) -
Jose Brox,
Antonio Fernández López,
Miguel Gómez Lozano
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12903
Subject(s) - algorithm , annotation , computer science , prime (order theory) , mathematics , artificial intelligence , combinatorics
In this note we extend the Lie inner ideal structure of simple Artinian rings with involution, initiated by Benkart and completed by Benkart and Fernández López, to centrally closed prime rings with involution of characteristic not 2 2 , 3 3 or 5 5 . New Lie inner ideals (which we call special) occur when making this extension. We also give a purely algebraic description of the so-called Clifford inner ideals, which had only been described in geometric terms.