On anti-structurable algebras (Algebras, Languages, Algorithms and Computations)
Noriaki Kamiya, Daniel Mondoc, Susumu Ôkubo · Kyoto University Research Information Repository (Kyoto University) · 2011
preamble 1.1 $(\epsilon, \delta)$ -Freudenthal Kantor triple systemsWe are concerned in this paper with triple systems which have finite dimension over a field $\Phi$ of characteristic $ eq 2$ or 3, unless otherwise specified.In order to render this paper as self-contained as possible, we recall first the definition of a gencralized Jordan triplc system of second order (for short GJTS of 2nd order).A vector space $V$ over a field $\Phi$ endowed with a trilinear operation $V\cross V\cross$ $Varrow V,$ $(x, y, z)\mapsto(xyz)$ is said to be a GJTS of 2nd order if the following