2017/02/10 by Zerui Zhang, Zhang, Zerui, L. A. Bokut +3
Mathematics · #16S15 #17A30 #17A70 #17B30 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16S15 #msc:17A30 #msc:17A70 #msc:17B30
paper · pdf · doi:10.48550/arxiv.1702.03922
21 pages
arxiv created 2018/11/22 · arxiv updated 2018/11/26
We construct a linear basis of a free GDN superalgebra over a field of characteristic ≠ 2. As applications, we prove a PBW theorem, that is, any GDN superalgebra can be embedded into its universal enveloping commutative associative differential superalgebra. An Engel theorem under some assumptions is given.