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Research Article

Nilpotent superderivations in prime superalgebras

ORCID Icon, ORCID Icon & ORCID Icon
Pages 5547-5570 | Received 25 Feb 2021, Accepted 14 Apr 2021, Published online: 28 Apr 2021
 

Abstract

In this paper we give an in-deph analysis of the nilpotency index of nilpotent homogeneous inner superderivations in associative prime superalgebras with and without superinvolution. We also present examples of all the different cases that our analysis exhibits for the nilpotency indices of the inner superderivations.

2020 Mathematics Subject Classifications:

Acknowledgments

The authors express their sincere thanks to the anonymous expert referee for the careful reading of the manuscript and his/her comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The three authors were partially supported by MTM2017-84194-P (AEI/FEDER, UE), and by the Junta de Andalucía FQM264.

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