Fabrizio Martino

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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

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.RA2023

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…

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

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

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

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

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

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