Nilpotent superderivations in prime superalgebras

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 inne...

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Published inLinear & multilinear algebra Vol. 70; no. 20; pp. 5547 - 5570
Main Authors García, Esther, Gómez Lozano, Miguel, Vera de Salas, Guillermo
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 19.12.2022
Taylor & Francis Ltd
Subjects
Associative superalgebra
inner superderivation
Lie superalgebra
skew-symmetric element
superinvolution
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Summary: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.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2021.1919594