Elsevier, Linear Algebra and its Applications, 8-9(430), p. 2133-2148, 2009
DOI: 10.1016/j.laa.2008.11.024
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We characterize the existence of elimination orderings for a given PBW algebra. Elimination orderings on Np are analyzed. A subclass of elimination orderings is considered to handle some Ore subsets and classical localizations.