Superderivations with invertible values


DEMİR Ç. , ALBAŞ E. , ARGAÇ N. , FOSNER A.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.14, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s021949881550022x
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

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.