2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.RA2005
Ideals in non-associative universal enveloping algebras of Lie triple systems
J. Mostovoy, J. M. Pérez-Izquierdo
The notion of a non-associative universal enveloping algebra for a Lie triple system arises when Lie triple systems are considered as Bol algebras (more generally, Sabinin algebras…
math.GR2004★ 2 cited
Dimension filtration on loops
J. Mostovoy, J. M. Pérez-Izquierdo
We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero.…
math.GR2004
On the notion of lower central series for loops
Jacob Mostovoy
The commutator calculus is one of the basic tools in group theory. However, its extension to the non-associative context, based on the usual definition of the lower central series…