In this paper, elaborating on the link between semifields of dimension n over their left nucleus and s-linear sets of rank en disjoint from the secant variety $\Omega({\mathcal S}_{n,n})$ of the Segre variety ${\mathcal S}_{n,n}$ of $PG(n2−1,q)$, $q=se$, we extend some operations on semifield whose definition relies on dualising the relevant linear set.

### The generalized translation dual of a semifield

#### Abstract

In this paper, elaborating on the link between semifields of dimension n over their left nucleus and s-linear sets of rank en disjoint from the secant variety $\Omega({\mathcal S}_{n,n})$ of the Segre variety ${\mathcal S}_{n,n}$ of $PG(n2−1,q)$, $q=se$, we extend some operations on semifield whose definition relies on dualising the relevant linear set.
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2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/575489
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