2010/11/23 by Roberto Boldini, Boldini, Roberto
Mathematics · #13C05 13C13 16D25 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13C05 #msc:13C13 #msc:16D25
paper · pdf · doi:10.48550/arxiv.1011.5159
7 pages, updated on 1st June 2011, minor corrections
arxiv created 2011/06/01 · arxiv updated 2011/06/02
A topological space TO(S) of total orderings on any given set S is introduced and it is shown that TO(S) is compact if S is countable. The set NO(N) of all normal orderings of the nth Weyl algebra W is a closed subspace of TO(N), where N is the set of all normal monomials of W. Hence NO(N) is compact and, as a consequence of this fact and by a division theorem valid in W, we give a proof that each left ideal of W admits a universal Groebner basis.