Sur les algèbres sur un anneau R munies d'une forme multiplicative de degré n tel que [...]! soit régulier dans R.
Sur les anneaux différentiablement simples
The classical Yang-Baxter equation on alternative algebras: the alternative -bialgebra structure on Cayley-Dickson matrix algebras.
The contributions of Hilbert and Dehn to non-archimedean geometries and their impact on the italian school
In this paper we investigate the contribution of Dehn to the development of non-Archimedean geometries. We will see that it is possible to construct some models of non-Archimedean geometries in order to prove the independence of the continuity axiom and we will study the interrelations between Archimedes’ axiom and Legendre’s theorems. Some of these interrelations were also studied by Bonola, who was one of the very few Italian scholars to appreciate Dehn’s work. We will see that, if Archimedes’...
The nucleus of the free alternative algebra.
The structure and representation of n-ary algebras of DNA recombination
In this paper we investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. Our methods involve a generalization of the Jordan formalization of observables in quantum mechanics in n-ary splicing algebras. It is proved that every identity satisfied by n-ary DNA recombination, with no restriction on the degree, is a consequence of n-ary commutativity and a single n-ary identity of the degree 3n-2....
Types of associativity inherited by a ring from a special ideal
Über verallgemeinerte Cayley-Dickson Algebren.
Uniqueness of decomposition of pseudo-Riemannian superalgebras
This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.
Universal envelopes of Malcev algebras: pointed Moufang bialgebras.
Zur Konstruktion homogener Kegel.
Zur Struktur der vierdimensionalen quadratischen Algebren.
Zweidimensionale Quasialgebren mit Nullteilern.
Абсолютные делители нуля и радикалы конечно-порожденных альтернативных алгебр
Абсолютные делители нуля специальных йордановых алгебр.
Алгебраические алгебры Мальцева
Алгебраические бинарно-лиевы алгебры.
Алгебраические кольца с компактной топологией.
Алгебры общего положения с квадратичными коммутационными соотношениями
Альтернативные алгебры 3 и 4 ранга