2 papers
math.RA2008
On free associative algebras linearly graded by finite groups
Vitor O. Ferreira, Lucia S. I. Murakami
As an instance of a linear action of a Hopf algebra on a free associative algebra, we consider finite group gradings of a free algebra induced by gradings on the space spanned by t…
math.RA2008
Free fields in skew fields
Vitor O. Ferreira, Érica Z. Fornaroli
Building on the work of K. Chiba (J. Algebra 263 (2003), 75-87), we present sufficient conditions for the completion of a division ring with respect to the metric defined by a disc…