Edomorphisms and Null subalgeras of finite dimensional algebras.
Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial.
Eight-dimensional real quadratic division algebras.
Eine Konstruktion von Lie-Algebren aus Jordan-Tripel-Systemen.
Eine Topologie auf der Menge der endlichdimensionalen nichtassoziativen Algebren über einem lokalen Körper.
Eine Verallgemeinerung eines Satzes von Kurata.
Embedding of dendriform algebras into Rota-Baxter algebras
Following a recent work [Bai C., Bellier O., Guo L., Ni X., Splitting of operations, Manin products, and Rota-Baxter operators, Int. Math. Res. Not. IMRN (in press), DOI: 10.1093/imrn/rnr266] we define what is a dendriform dior trialgebra corresponding to an arbitrary variety Var of binary algebras (associative, commutative, Poisson, etc.). We call such algebras di- or tri-Var-dendriform algebras, respectively. We prove in general that the operad governing the variety of di- or tri-Var-dendriform...
Endlichdimensionale graduierte Algebren und ihre Darstellungen
Epimorphismen von lokalen Ternärringen
Erweiterte lokale Ternärringe
Existence and construction of two-dimensional invariant subspaces for pairs of rotations
By a rotation in a Euclidean space V of even dimension we mean an orthogonal linear operator on V which is an orthogonal direct sum of rotations in 2-dimensional linear subspaces of V by a common angle α ∈ [0,π]. We present a criterion for the existence of a 2-dimensional subspace of V which is invariant under a given pair of rotations, in terms of the vanishing of a determinant associated with that pair. This criterion is constructive, whenever it is satisfied. It is also used to prove that every...
Existentially closed Leibniz algebras and an embedding theorem
In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.
Extensiones centrales de las álgebras de Leibniz.