24/12/19 Vel d'Hiv' départ du Bol d'or [les pistards : Georget, Van Neh, Deruyter, Godivier, Bartelemy, Léonard et Steux] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57305

25-12-19 Vel d'Hiv', Bol d'or [les pistards au repos] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57307

Vel d'Hiv' 25/12/19, [Léon] Georget vainqueur du Bol d'or : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57311

[25-12-19 Vel d'Hiv'] Barthelemy 4e, Georget vainqueur du Bol d'or, Godivier 2e : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57313

Algebraic Bol loops

In this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems for this category. On the other hand, we present some examples showing that these loops lack some nice properties of algebraic groups; for example, we construct local algebraic Bol loops which are not birationally equivalent to global algebraic loops.

Special identities for Bol algebras

Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a left or right alternative algebra then A(b) is a Bol algebra, where [a, b] := ab - ba is the commutator and {a, b, c} := < b, c, a > is the Jordan associator. A special identity is an identity satisfied by Ab for all right alternative algebras A, but not satisfied by the free Bol algebra. We show that there are no special identities of degree <= 7, but there are special identities of degree 8. We obtain all the special identities of degree 8 in partition six-two. (C) 2011 Elsevier Inc. All rights reserved.

Ueber Wistaria chinensis D. C. (Glycine sinensis Bol. May)

Von Juwelier M. Hermann