Elisabete Barreiro

k-Modules Over Linear Spaces by n-Linear Maps Admitting a Multiplicative Basis

We study the structure of certain k-modules 𝕍 over linear spaces 𝕎 with restrictions neither on the dimensions of 𝕍 and 𝕎 nor on the base field 𝔽. A basis 𝔅={vi}i∈I

Homogeneous Symmetric Antiassociative Quasialgebras

\mathfrak {B} = \{v_{i}\}_{i\in I}

n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis

of 𝕍 is called multiplicative with respect to the basis 𝔅′={wj}j∈J

Odd-quadratic Lie superalgebras

\mathfrak {B}^{\prime } = \{w_{j}\}_{j \in J}

Quadratic Lie superalgebras with a reductive even part

of 𝕎 if for any σ∈Sn,i1,…,ik∈I

On split regular Hom-Lie superalgebras

\sigma \in S_{n}, i_{1},\dots ,i_{k} \in I

Derivations of the Cheng–Kac Jordan superalgebras

and jk+1,…,jn∈J

Quadratic symplectic Lie superalgebras and Lie bi-superalgebras

j_{k + 1},\dots , j_{n} \in J

The structure of Leibniz superalgebras admitting a multiplicative basis

we have [vi1,…,vik,wjk+1,…,wjn]σ∈𝔽vrσ

The TKK Construction of a Cheng-Kac Jordan Superalgebra of Characteristic 3

[v_{i_{1}},\dots , v_{i_{k}}, w_{j_{k + 1}}, \dots , w_{j_{n}}]_{\sigma } \in \mathbb {F}v_{r_{\sigma }}