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math.RA2020★ 3 cited
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…
math.RA2019
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…
math.RA2018
A remark on the Dixmier Conjecture
V. V. Bavula, V. Levandovskyy
The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra (over a field of characteristic zero) is an automorphism, i.e., if for some $P, Q \i…