4 citations · 7 across the 4 of their papers we have counts for
4 papers
Computing the noncommutative inner rank by means of operator-valued free probability theory
Johannes Hoffmann, Tobias Mai, Roland Speicher
We address the noncommutative version of the Edmonds' problem, which asks to determine the inner rank of a matrix in noncommuting variables. We provide an algorithm for the calcula…
Constructive Arithmetics in Ore Localizations Enjoying Enough Commutativity
Johannes Hoffmann, Viktor Levandovskyy
This paper continues a research program on constructive investigations of non-commutative Ore localizations, initiated in our previous papers, and particularly touches the construc…
Left saturation closure for Ore localizations
Johannes Hoffmann, Viktor Levandovskyy
In this paper, we introduce the notion of LSat, the left saturation closure of a subset of a module at a subset of the base ring, which generalizes multiple important concepts rela…
Constructive Arithmetics in Ore Localizations of Domains
Johannes Hoffmann, Viktor Levandovskyy
For a non-commutative domain and a multiplicatively closed set the (left) Ore localization of at exists if and only if satisfies the (left) Ore property. Since…