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math.RA2025
Irreducible Components of the Varieties of Jordan Superalgebras of Types and
Isabel Hernández, María Eugenia Martin, Rodrigo Lucas Rodrigues
We describe the variety of Jordan superalgebras of dimension whose even part is a Jordan algebra of dimension or . We prove that the variety is the union of Zariski clos…
math.RA2025
The Variety of Jordan Superalgebras of dimension four and even part of dimension two
Isabel Hernández, María Eugenia Martin, Rodrigo Lucas Rodrigues
We describe the variety of Jordan superalgebras of dimension whose even part is a Jordan algebra of dimension over an algebraically closed field of characteris…
math.RA2025
Engel's Theorem for Alternative Superalgebras
Isabel Hernández, 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…