1 citations · 1 across the 5 of their papers we have counts for
8 papers
On free subgroups in division rings
Jason P. Bell, Jairo Goncalves
Let be a field and let be an automorphism and let be a -derivation of . Then we show that the multiplicative group of nonzero elements of the division ring $D=K(x…
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 be a field of characteristic different from and let be a nonabelian residually torsion-free nilpotent group. It is known that is an orderable group. Let …
Group algebras whose units satisfy a Laurent Polynomial Identity
Osnel Broche, Jairo Z. Gonçalves, Ángel del Río
Let be the group algebra of a torsion group over a field . We show that if the units of satisfy a Laurent polynomial identity which is not satisfied by the units o…
Free algebras and free groups in Ore extensions and free group algebras in division rings
Jason P. Bell, Jairo Z. Goncalves
Let be a field of characteristic zero, let be an automorphism of and let be a -derivation of . We show that the division ring either has the prop…
Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras
Vitor O. Ferreira, Jairo Z. Gonçalves, Javier Sánchez
For any Lie algebra L over a field, its universal enveloping algebra U(L) can be embedded in a division ring D(L) constructed by Lichtman. If U(L) is an Ore domain, D(L) coincides…
Free symmetric and unitary pairs in division rings infinite-dimensional over their centers
Vitor O. Ferreira, Jairo Z. Goncalves
Let be a division ring infinite-dimensional over its center with multiplicative group . We show that if belongs to certain families, there exist free symmet…