Half-automorphisms of simple Moufang loops
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.10.032
Abstract: Abstract A half-isomorphism φ : G → K between multiplicative systems G and K is a bijection from G onto K such that φ ( a b ) ∈ { φ ( a ) φ… read more here.
Keywords: moufang loops; half automorphisms; automorphisms simple; simple moufang ... See more keywords
On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.02.004
Abstract: In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers $\mathbb{R}$, which are nilpotent module its Lie center. It is proved that the corresponding analytic global Moufang… read more here.
Keywords: moufang loops; malcev algebras; lie center; corresponding analytic ... See more keywords
On the non-commuting graph in finite Moufang loops
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818500706
Abstract: The non-commuting graph associated to a non-abelian group G, ΓG, is a graph with vertex set G∖Z(G) where distinct non-central elements x and y of G are joined by an edge if and only if… read more here.
Keywords: moufang loops; commuting graph; non abelian; non commuting ... See more keywords