S. Pumpluen

activity

20072026

most citedFinite nonassociative algebras obtained from skew polynomials and possible applications to

(f, σ, δ)

-codes

13 citations · 24 across the 14 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.RA2024

Menichetti's nonassociative $G$ -crossed product algebras and Menichetti codes

Susanne Pumpluen

We define the nonassociative Menichetti algebras which can be viewed as nonassociative crossed product algebras and then use them as ambient algebras for new linear error-correctin…

math.RA2024

A classification of the division algebras that are isotopic to a cyclic Galois field extension

Susanne Pumpluen

We classify all division algebras that are principal Albert isotopes of a cyclic Galois field extension of degree $n > 2$ up to isomorphisms. We achieve a ``tight'' classification wh…

math.RA2024

A closer look at Witt rings for forms of higher degree

Susanne Pumpluen

Witt rings for nondegenerate forms $φ$ of degree $d$ over a field of characteristic 0 or greater than $d$ were defined by Harrison and Pareigis. We revisit and discuss their defini…

Menichetti's nonassociative G-crossed product algebras and Menichetti codes

A classification of the division algebras that are isotopic to a cyclic Galois field extension

A closer look at Witt rings for forms of higher degree

Menichetti's nonassociative $G$ -crossed product algebras and Menichetti codes