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math.RA2017★ 4 cited
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…
math.RA2017
Modular Techniques For Noncommutative Gröbner Bases
Wolfram Decker, Christian Eder, Viktor Levandovskyy +1
In this note, we extend modular techniques for computing Gröbner bases from the commutative setting to the vast class of noncommutative -algebras. As in the commutative case, an…