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math.RA2014★ 3 cited
On the axioms defining a quadratic Jordan division algebra
Matthias Grüninger
Quadratic Jordan algebras are defined by identities that have to hold strictly, i.e that continue to hold in every scalar extension. In this paper we show that strictness is not re…
math.RA2014★ 1 cited
Multiplicative quadratic maps
Matthias Grüninger
In this paper we prove that a multiplicative quadratic map between a unital ring and a field is induced by a homomorphism from into or a composition algebra over $L…