One-dimensional subalgebras of a Bernstein algebra.
Opérades différentielles graduées sur les simplexes et les permutoèdres
On définit plusieurs opérades différentielles graduées, dont certaines en relation avec des familles de polytopes : les simplexes et les permutoèdres. On obtient également une présentation de l’opérade liée aux associaèdres introduite dans un article antérieur.
Orthogonally complete alternative rings.
Places of alternative fields
Prime factorization of integral Cayley octaves
Produkt von Formen.
Qualgebras and knotted 3-valent graphs
This paper is devoted to new algebraic structures, called qualgebras and squandles. Topologically, they emerge as an algebraic counterpart of knotted 3-valent graphs, just like quandles can be seen as an "algebraization" of knots. Algebraically, they are modeled after groups with conjugation and multiplication/squaring operations. We discuss basic properties of these structures, and introduce and study the notions of qualgebra/squandle 2-cocycles and 2-coboundaries. Knotted 3-valent graph invariants...
Radikale von separablen Algebren über Ringen.
Reversibility in absolute-valued algebras
Right Alternative Rings with Minimal Condition.
Root decomposition of the ternary Mal'tsev algebra .
Serie de Poincaré-Koszul associée aux groupes de tresses pures.
Simple special Jordan superalgebras with associative even part.
Some comments on a cubic algebra
Some examples of real division algebras.
Strongly prime alternative pairs with minimal inner ideals.
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra of the symmetric group over a field of characteristic 0 (or ). The goal is to obtain a constructive version of the isomorphism where is a partition of and counts the standard tableaux of shape ....
Subalternative algebras.
Subassociative algebras.
Sur les algèbres de Jordan génétiques