2013/07/11 by Jesus Laliena, Jesús Laliena, Laliena, Jesus
Mathematics · #16W55 #17A70 #17C70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16W55 #msc:17A70 #msc:17C70
paper · pdf · doi:10.48550/arxiv.1307.3163
arXiv admin note: substantial text overlap with arXiv:math/0701357
arxiv created 2013/07/11 · openalex publication_date 2013/07/11 · arxiv updated 2013/07/12 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of [K, K], then either there exists an ideal J of A such that the Lie ideal [J ∩ K,K] is nonzero and 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.