A characterization of isoparametric hypersurfaces of Clifford type.
A review on δ-structurable algebras
In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.
Angeordnete affine Klingenbergsche Ebenen
Angeordnete affine lokale Ternärringe und angeordnete affine Klingenbergsche Ebenen
Automorphismengruppen 8-dimensionaler Ternärkörper.
Banach triples with generalized inverses.
Bemerkung über gemeinsame Beziehung zwischen kartesischen Gruppen und kartesischen Zahlensystemen
Charakterisierung symmetrischer R-Räume durch ihre Einheitsgitter.
Classification of the Steiner quadruple systems of cardinality 32
Classifying two-dimensional hyporeductive triple algebra.
Commutator algebras arising from splicing operations
We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation, and...
Conditional Expectation and Bicontractive Projections on Jordan C*-algebras and Their Generalizations.
Congruences and ideals in ternary rings
A ternary ring is an algebraic structure of type satisfying the identities and where, moreover, for any , , there exists a unique with . A congruence on is called normal if is a ternary ring again. We describe basic properties of the lattice of all normal congruences on and establish connections between ideals (introduced earlier by the third author) and congruence kernels.
Construction of countable ternary rings of suitable types [Abstract of thesis]
Dialgebras and related triple systems.
Die Varietät der auflösbaren Ternare der Ordnung 2
Eine Konstruktion von Lie-Algebren aus Jordan-Tripel-Systemen.
Epimorphismen von lokalen Ternärringen
Erweiterte lokale Ternärringe
Free associative algebras, noncommutative Gröbner bases, and universal associative envelopes for nonassociative structures
First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by multilinear operations. Third, we extend the work of Elgendy (2012) for nonassociative structures on the 2-dimensional simple associative triple system to the 4- and 6-dimensional systems.