I. Shestakov

activity

20082022

most citedThe Freiheitssatz for Generic Poisson Algebras

12 citations · 25 across the 17 of their papers we have counts for

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3 papers · 1 filter

math.RA2022

Alternative $M_{2}$ -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 $2 \times 2$ matrix algebra $M_{2}$ as a unita…

math.RA2022

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…

math.RA2022

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 $A l t [X]$ and $S M a l c [X] \subset A l t [X]$ be the free alternative algebra and the free spec…

Alternative M2​-algebras and ${\mit Γ}$-algebras

Skew-symmetric identities of finitely generated alternative algebras

New elements in the center of free alternative algebra

Alternative $M_{2}$ -algebras and ${\mit Γ}$-algebras