A Class of Nonassociative Algebras with Involution Containing the Class of Jordan Algebras.
A construction for algebras satisfying the maximal condition for subalgebras
A Theorem on Non-Associative Algebras and its Application to Differential Equations.
Absolute-valued algebras with an involution
An isomorphism theorem for algebras
Automorphismengruppen achtdimensionaler lokalkompakter Quasikörper.
Cohomology of deformation parameters of diagonal noncommutative nonassociative graded algebras.
Demi-groupes, espaces affines et categories gauches
Differentiable functions in associative and alternative algebras and smooth surfaces in projective spaces over these algebras
Eine Topologie auf der Menge der endlichdimensionalen nichtassoziativen Algebren über einem lokalen Körper.
Eine Verallgemeinerung eines Satzes von Kurata.
Formes quadratiques et algèbres quadratiques
Gelfand-Kirillor Dimension for non-Associative Algebras
Homogene Polynomgesetze auf nichtassoziativen Algebren über Ringen.
Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras
This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The...
Logarithmetics and quasigroup structure
Moduln und Radikale von nichtassoziativen Ringen.
Nichtausgeartete Kompositionsalgebren vom Grad 3.
On Leibniz algebras with maximal cyclic subalgebras
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras.
On some properties of the upper central series in Leibniz algebras
This article discusses the Leibniz algebras whose upper hypercenter has finite codimension. It is proved that such an algebra includes a finite dimensional ideal such that the factor-algebra is hypercentral. This result is an extension to the Leibniz algebra of the corresponding result obtained earlier for Lie algebras. It is also analogous to the corresponding results obtained for groups and modules.