Giuseppe Nozzi

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20242026

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math.GR2024

Transfinite hypercentral iterated wreath product of integral domains

Riccardo Aragona, Norberto Gavioli, Giuseppe Nozzi

Starting with an integral domain $D$ of characteristic $0$ , we consider a class of iterated wreath product $W_{n}$ of $n$ copies of $D$ . In order that $W_{n}$ be transfinite hypercentr…

math.GR2024

A classification of module braces over the ring of $p$ -adic integers

Riccardo Aragona, Norberto Gavioli, Giuseppe Nozzi

In this paper we study the $R$ -braces $(M, +, \circ)$ such that $M \cdot M$ is cyclic, where $R$ is the ring of $p$ -adic and $\cdot$ is the product of the radical $R$ -algebra associat…

math.GR2024

A classification of $F_{p^{k}}$ -braces using bilinear forms

Riccardo Aragona, Giuseppe Nozzi

Let $F_{p^{k}}$ be a finite field of odd characteristic $p$ . In this paper we give a classification, up to isomorphism, of the associative commutative $F_{p^{k}}$ -alg…

Transfinite hypercentral iterated wreath product of integral domains

A classification of module braces over the ring of p-adic integers

A classification of Fpk​-braces using bilinear forms

A classification of module braces over the ring of $p$ -adic integers

A classification of $F_{p^{k}}$ -braces using bilinear forms