Monica Nevins

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20242026

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math.RA2026

A parametrization of nonassociative Petit algebras $K [t; σ] / K [t : σ] (t^{m} - a)$ up to equivalence

Monica Nevins, Susanne Pumpluen

Let $K / F$ be a cyclic Galois field extension of degree $n$ with $Gal (K / F) = ⟨ σ ⟩$ . The nonassociative Petit algebras $K [t; σ] / K [t; σ] (t^{m} - a)$ have recently emerged…

math.RA2024

A parametrization of nonassociative cyclic algebras of prime degree

Monica Nevins, Susanne Pumpluen

We determine and explicitly parametrize the isomorphism classes of nonassociative quaternion algebras over a field of characteristic different from two, as well as the isomorphism…

A parametrization of nonassociative Petit algebras K[t;σ]/K[t:σ](tm−a) up to equivalence

A parametrization of nonassociative cyclic algebras of prime degree

A parametrization of nonassociative Petit algebras $K [t; σ] / K [t : σ] (t^{m} - a)$ up to equivalence