4 papers
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…
Varieties of nilpotent Jordan superalgebras of dimension five
Isabel Hernández, 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…
Construction of groups with triality and their corresponding code loops
Rosemary Miguel Pires, Alexandre Grishkov, Rodrigo Lucas Rodrigues +1
We generalize the global construction of code loops introduced by Nagy, which is based on the connection between Moufang loops and groups with triality. This follows from the const…
The Variety of Jordan Superalgebras of dimension four and even part of dimension two
Isabel Hernández, MarÃa 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…