Skip to main content

Research Repository

Advanced Search

All Outputs (4)

How a nonassociative algebra reflects the properties of a skew polynomial (2019)
Journal Article
Brown, C., & Pumpluen, S. (2021). How a nonassociative algebra reflects the properties of a skew polynomial. Glasgow Mathematical Journal, 63(1), 6-26. https://doi.org/10.1017/S0017089519000478

Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation. For each f D[t, σ, δ] of degree m > 1 with a unit as leading coefficient, there exists a unital nonassoci... Read More about How a nonassociative algebra reflects the properties of a skew polynomial.

Diagonal Forms of Higher Degree Over Function Fields of p-adic Curves (2019)
Journal Article
Pumplün, S., & Pumpluen, S. (2020). Diagonal Forms of Higher Degree Over Function Fields of p-adic Curves. International Journal of Number Theory, 16(1), 161-172. https://doi.org/10.1142/S1793042120500098

We investigate diagonal forms of degree d over the function field F of a smooth projective p-adic curve: if a form is isotropic over the completion of F with respect to each discrete valuation of F , then it is isotropic over certain fields F_U , F_P... Read More about Diagonal Forms of Higher Degree Over Function Fields of p-adic Curves.

Solvable crossed product algebras revisited (2019)
Journal Article
Brown, C., & Pumpluen, S. (2019). Solvable crossed product algebras revisited. Glasgow Mathematical Journal, 1-21. https://doi.org/10.1017/S0017089519000089

For any central simple algebra over a field F which contains a maximal subfield M with non-trivial automorphism group G = AutF (M), G is solvable if and only if the algebra contains a finite chain of subalgebras which are generalized cyclic algebras... Read More about Solvable crossed product algebras revisited.

The multiplicative loops of Jha-Johnson semifields (2019)
Journal Article
Pumpluen, S. (2019). The multiplicative loops of Jha-Johnson semifields. Communications in Contemporary Mathematics, 721, 227-242

The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and right nuclei are the multiplicative groups of a field extension of their centers. They yield examples of finite loops with non-trivial automorphism gro... Read More about The multiplicative loops of Jha-Johnson semifields.