S. Pchelintsev

collaborators

2 papers

math.RA2023

The Veronese subalgebras of a free alternative algebra of finite rank are finitely generated

S. V. Pchelintsev, I. P. Shestakov

It is proved that for any natural number $n$ the subalgebra of a free finitely generated alternative algebra generated by all the words on generators whose length is a multiple of…

math.RA2018

Relatively free associative algebras of ranks 2 and 3 with Lie nilpotency identity and systems of generators for some T-spaces

Sergey Pchelintsev

We study relatively free associative algebras $F_{r}^{(n)}$ of ranks $r = 2, 3$ with the identity $[x_{1}, \dots, x_{n}] = 0$ of Lie nilpotency of step $n ⩾ 3$ over a field $K$ of chara…