Translation dual of a semifield
type: Item
instance of: scholarly article
title: Translation dual of a semifield
zbMATH Open document ID: 1156.51004
author: Guglielmo Lunardon
author: Giuseppe Marino
author: Olga Polverino
author: Rocco Trombetti
published in: Journal of Combinatorial Theory. Series A
publication date: 2008-12-08T00:00:00Z
review text: A new description of the translation dual of a semifield introduced by \textit{G. Lunardon} [J. Geom. 76, No. 1--2, 200--215 (2003; Zbl 1042.51008)] is presented. Using this description, it is proved that a semifield and its translation dual have nuclei of the same order. Combining the Knuth cubical array and the translation dual, an alternate description of the chain of twelve semifields in the table obtained by \textit{S. Ball, G. L. Ebert} and \textit{M. Lavrauw} [J. Algebra 311, No. 1, 117--129 (2007; Zbl 1125.12002)] is also presented.
reviewed by: József Szilasi
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 12K10
zbMATH DE Number: 5379260
zbMATH Keywords: semifield
zbMATH Keywords: nuclei
zbMATH Keywords: spread set
MaRDI profile type: Publication
full work available at URL: j.jcta.2008.02.002
OpenAlex ID: W1988926352
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DOI: 10.1016/J.JCTA.2008.02.002
description: scientific article; zbMATH DE number 5379260