1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.RA2026
Simple unital Jordan superalgebras
Ivan Shestakov, Efim Zelmanov
We prove that a simple unital Jordan superalgebra of arbitrary dimension belongs to the list of known simple unital superalgebras or lies in a certain proper subvariety.
math.RA2025
Simple Jordan superalgebras with the even parts of Clifford type
Ivan Shestakov, Efim Zelmanov
The purpose of this paper is a partial progress towards classification of simple infinite dimensional Jordan superalgebras. First, we prove that the only simple infinite dimensiona…
math.GR2016★ 1 cited
On torsion-free nilpotent loops
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov
We show that a torsion-free nilpotent loop (that is, a loop nilpotent with respect to the dimension filtration) has a torsion-free nilpotent left multiplication group of, at most,…