2007/01/12 by Jesus Laliena, Jesús Laliena, Laliena, Jesus +2 · 1 citation
Mathematics · Physics and Astronomy · #17C70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA #msc:17C70
paper · pdf · doi:10.48550/arxiv.math/0701357
12 pages
arxiv created 2007/01/12 · openalex publication_date 2007/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of K, then either there exists an ideal J of A such that a determined nonzero Lie ideal connected with J is contained in U, or A is a subdirect sum of A', A'', where the image of U in A' is central, and A'' is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center.