C. Rizzo

activity

20242026

collaborators

6 papers

math.RA2026

Differential varieties of upper triangular matrices

Daniela La Mattina, Carla Rizzo

Let $L$ be a Lie algebra acting by derivations on an associative algebra $A$ over a field $F$ of characteristic zero. The polynomial identities satisfied by $A$ with respect to thi…

math.RA2026

On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras

Elisabete Barreiro, Said Benayadi, Hamza El Ouali +1

We introduce the notions of anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras, which arise as nearly associative Levi-Civita products associated w…

math.RA2026

Multipliers, $W$ -algebras and the growth of generalized polynomial identities

Fabrizio Martino, Carla Rizzo

Let $A$ be a $W$ -algebra over a field $F$ of characteristic zero, where $W$ is any $F$ -algebra. We first develop a comprehensive theory of generalized identities independent of the…

math.RA2025

Varieties of graded $W$ -algebras and asymptotic behavior of codimension growth

Giovanni Busalacchi, Fabrizio Martino, Carla Rizzo

Let $W$ be a $G$ -graded algebra over a field of characteristic zero, where $G$ is a finite group. We develope a theory of generalized $G$ -graded polynomial identities satisfied by…

math.RA2025

Bialgebra theory for nearly associative algebras and $L R$ -algebras: equivalence, characterization, and $L R$ -Yang-Baxter Equation

Elisabete Barreiro, SaÃ¯d Benayadi, Carla Rizzo

We develop the bialgebra theory for two classes of non-associative algebras: nearly associative algebras and $L R$ -algebras. In particular, building on recent studies that reveal co…

math.RA2024

The $2 \times 2$ upper triangular matrix algebra and its generalized polynomial identities

F. Martino, C. Rizzo

Let $U T_{2}$ be the algebra of $2 \times 2$ upper triangular matrices over a field $F$ of characteristic zero. Here we study the generalized polynomial identities of $U T_{2}$ , i.e., ide…

Differential varieties of upper triangular matrices

On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras

Multipliers, W-algebras and the growth of generalized polynomial identities

Varieties of graded W-algebras and asymptotic behavior of codimension growth

Bialgebra theory for nearly associative algebras and LR-algebras: equivalence, characterization, and LR-Yang-Baxter Equation

The 2×2 upper triangular matrix algebra and its generalized polynomial identities

Multipliers, $W$ -algebras and the growth of generalized polynomial identities

Varieties of graded $W$ -algebras and asymptotic behavior of codimension growth

Bialgebra theory for nearly associative algebras and $L R$ -algebras: equivalence, characterization, and $L R$ -Yang-Baxter Equation

The $2 \times 2$ upper triangular matrix algebra and its generalized polynomial identities