Isabel Hernández

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math.RA2026

Engel's Theorem for Alternative Superalgebras

Isabel HernÃ¡ndez, Laiz Valim da Rocha, Rodrigo Lucas Rodrigues

In this paper, a nilpotency criterion is given for finite dimensional alternative superalgebras in the spirit of Engel's Theorem for Jordan superalgebras over infinite fields provi…

math.RA2026

Varieties of nilpotent Jordan superalgebras of dimension five

Isabel HernÃ¡ndez, Laiz Valim da Rocha, Rodrigo Lucas Rodrigues

The paper is devoted to the description of the varieties of complex 5-dimensional nilpotent Jordan superalgebras. We find all representatives for the isomorphism classes, using the…

math.RA2025

Irreducible Components of the Varieties of Jordan Superalgebras of Types $(1, 3)$ and $(3, 1)$

Isabel HernÃ¡ndez, MarÃa Eugenia Martin, Rodrigo Lucas Rodrigues

We describe the variety of Jordan superalgebras of dimension $4$ whose even part is a Jordan algebra of dimension $1$ or $3$ . We prove that the variety is the union of Zariski clos…