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Superderivations with invertible values

Çağrı Demir

Department of Mathematics, Ege University, Bornova, İzmir 35100, Turkey

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Emine Albaş

Department of Mathematics, Ege University, Bornova, İzmir 35100, Turkey

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Nurcan Argaç

Department of Mathematics, Ege University, Bornova, İzmir 35100, Turkey

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, and

Ajda Fošner

Faculty of Management Koper, University of Primorska, Cankarjeva 5, SI-6104, Koper, Slovenia

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https://doi.org/10.1142/S021949881550022XCited by:2 (Source: Crossref)

Abstract

We examine the structure of unital associative superalgebras having nonzero superderivations with zero or invertible values. Under some mild assumptions, we show that such a superalgebra is either a division superalgebra , or , or it is a local superalgebra with a unique maximal graded ideal such that . We also describe in details the local superalgebras that are possible.

Keywords:

AMSC: 17A70, 17B40, 17B01

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