Javier Sánchez

activity

20082020

most citedThe Inversion Height of the Free Field is Infinite

1 citations · 3 across the 10 of their papers we have counts for

collaborators

Showing 2018 · math.RAShow all

3 papers · 2 filters

math.RA2018★ 1 cited

Free group algebras in division rings with valuation II

Javier Sánchez

We apply the filtered and graded methods developed in earlier works to find (noncommutative) free group algebras in division rings. If $L$ is a Lie algebra, we denote by $U (L)$ its…

math.RA2018

Free group algebras in division rings with valuation I

Javier Sánchez

Let $R$ be an algebra over a commutative ring $k$ . Suppose that $R$ is endowed with a descending filtration indexed on an ordered group $(G, <)$ such that the restriction to $k$ is…

math.RA2018

Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras

Vitor O. Ferreira, Jairo Z. Goncalves, Javier Sanchez

Let $k$ be a field of characteristic different from $2$ and let $G$ be a nonabelian residually torsion-free nilpotent group. It is known that $G$ is an orderable group. Let $k (G)$ …