Ternary superderivations of Jordan superalgebras
Alexey Shestakov

TL;DR
This paper characterizes ternary and generalized superderivations in finite-dimensional semisimple and simple Jordan superalgebras over algebraically closed fields, extending known results to various characteristics.
Contribution
It provides a comprehensive description of superderivations in Jordan superalgebras, including cases with semisimple even parts and different field characteristics.
Findings
Complete classification of superderivations for specified Jordan superalgebras.
Extension of results to fields of arbitrary characteristic not equal to 2.
Identification of structural properties of superderivations in these algebras.
Abstract
We describe the ternary and the generalized superderivations of finite-dimensional semisimple Jordan superalgebras over an algebraically closed field of characteristic zero and of finite-dimensional simple Jordan superalgebras with semisimple even part over an algebraically closed field of any characteristic not equal 2.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms
