All Outputs (4)

Nonassociative cyclic algebras and the semiassociative Brauer monoid (2024)
Journal Article
Pumpluen, S. (in press). Nonassociative cyclic algebras and the semiassociative Brauer monoid. Rendiconti del Circolo Matematico di Palermo,

We look at classes of semiassociative algebras, with an emphasis on those that canonically generalize associative (generalized) cyclic algebras, and at their behaviour in the semiassociative Brauer monoid defined by Blachar, Haile, Matzri, Rein, an... Read More about Nonassociative cyclic algebras and the semiassociative Brauer monoid.

The automorphisms of differential extensions of characteristic p (2024)
Journal Article
Pumplün, S. (2024). The automorphisms of differential extensions of characteristic p. Results in Mathematics, 79(5), Article 196. https://doi.org/10.1007/s00025-024-02234-z

Nonassociative differential extensions are generalizations of associative differential extensions, either of a purely inseparable field extension K of exponent one of a field F, F of characteristic p, or of a central division algebra over a purely in... Read More about The automorphisms of differential extensions of characteristic p.

A generalization of the first Tits construction (2024)
Journal Article
Pumpluen, S., & Moran, T. (2024). A generalization of the first Tits construction. Axioms, 13(5), Article 299. https://doi.org/10.3390/axioms13050299

Let F be a field of characteristic, not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebras. We generalize the first Tits construction by choosing the scalar em... Read More about A generalization of the first Tits construction.

Albert’s twisted field construction using division algebras with a multiplicative norm (2024)
Journal Article
Pumplün, S. (2024). Albert’s twisted field construction using division algebras with a multiplicative norm. Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498825502536

We generalize Albert’s twisted field construction, applying it to unital division algebras with a multiplicative norm. We give conditions for the resulting algebras to be division algebras. Four- and eight-dimensional real unital and non-unital divis... Read More about Albert’s twisted field construction using division algebras with a multiplicative norm.