Published January 1, 2015
| Version v1
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Superderivations with invertible values
- 1. Ege Univ, Dept Math, TR-35100 Izmir, Turkey
- 2. Univ Primorska, Fac Management Koper, SI-6104 Koper, Slovenia
Description
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.
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