32 citations
- Lomonosov Moscow State UniversityRU28 papers
- Institute of Terrestrial Magnetism Ionosphere and Radio Wave PropagationRU7 papers
- Moscow Center of Fundamental and Applied MathematicsRU7 papers
- Troitsk Institute for Innovation and Fusion ResearchRU7 papers
- Institute of Solar-Terrestrial PhysicsRU5 papers
- Institute of Mathematical Problems of BiologyRU4 papers
- Pulkovo ObservatoryRU4 papers
- St Petersburg UniversityRU4 papers
- Crimean Astrophysical ObservatoryUA3 papers
- National Research University Higher School of EconomicsRU3 papers
- Universidade Federal do ABCBR3 papers
- University of Beira InteriorPT3 papers
10 papers · 1 filter
Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons
Svetlana Zhilina
We study zero divisors whose components alternate strongly pairwise and construct oriented hexagons in the zero divisor graph of an arbitrary real Cayley-Dickson algebra. In case o…
Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements
Svetlana Zhilina
We consider zero divisors of an arbitrary real Cayley-Dickson algebra such that their components are both standard basis elements. We construct inductively the orthogonality graph…
Commuting graphs of Okubo algebras
Svetlana Zhilina, Danil Pavlinov
Commuting graphs of Okubo algebras are considered, and the problem of their connectivity is studied. The commuting graph of a pseudo-octonion algebra over a field…
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
Let denote the algebra of the sedenions, and denote its orthogonality graph. We observe that any pair of zero divisors in produces a dou…
The algebraic and geometric classification of -Novikov algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
The notion of -Novikov algebras was introduced recently as a generalization of Novikov and bicommutative algebras. It looks like -Novikov algebras have a richer structure tha…
The algebraic and geometric classification of transposed Poisson algebras
Patrícia Damas Beites, Amir Fernández Ouaridi, Ivan Kaygorodov
The algebraic and geometric classification of all complex -dimensional transposed Poisson algebras is obtained. Also, we discuss strong special -dimensional transposed Poisso…