Superderivations with invertible values
Articles > Article · 2014
Authors: Çağrı DEMİR, Emine ALBAŞ, Nurcan ARGAÇ, Ajda FOSNER
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, Journal Indexed in SCI Expanded, International, 2014, vol 14, pp 1550022-1550022
DOI: 10.1142/s021949881550022x
Summary
We examine the structure of unital associative superalgebras A having nonzero superderivations with zero or invertible values. Under some mild assumptions, we show that such a superalgebra A is either a division superalgebra D, or M-2(D), or it is a local superalgebra with a unique maximal graded ideal Msuch that M-2 = (0). We also describe in details the local superalgebras that are possible.