12 citations · 25 across the 17 of their papers we have counts for
18 papers · 1 filter
Alternative -algebras and ${\mit Γ}$-algebras
Alexandre Grishkov, Ivan Shestakov
Recently V.H.López Solís and I.Shestakov solved an old problem by N.Jacobson on describing of unital alternative algebras containing the matrix algebra as a unita…
Skew-symmetric identities of finitely generated alternative algebras
Ivan P. Shestakov
We prove that for every natural number n there exists a natural number N(n) such that every multilinear skew-symmetric polynomial on N(n) or more variables which vanishes in the fr…
New elements in the center of free alternative algebra
Ivan Shestakov, Sergey Sverchkov
A new series of central elements is found in the free alternative algebra. More exactly, let and be the free alternative algebra and the free spec…
LD-stability for Goldie rings
Vyacheslav Futorny, João Schwarz, Ivan Shestakov
The lower transcendence degree, introduced by J. J Zhang, is an important non-commutative invariant in ring theory and non-commutative geometry strongly connected to the classical…
Loop of formal diffeomorphisms and F{à}a di Bruno coloop bialgebra
Alessandra Frabetti, Ivan Shestakov
We consider a generalization of (pro)algebraic loops defined on general categories of algebras and the dual notion of a coloop bialgebra suitable to represent them as functors. Our…
On Jordan doubles of slow growth of Lie superalgebras
Victor Petrogradsky, Ivan Shestakov
To an arbitrary Lie superalgebra we associate its Jordan double , which is a Jordan superalgebra. This notion was introduced by the second author before. Now…