Superderivations with invertible values

WOS: 000350888300014We 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.TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [110T586]; ARRSSlovenian Research Agency - Slovenia [BI-TR/11-13-003]The authors were supported in part by TUBITAK Grant #110T586 and ARRS #BI-TR/11-13-003