Universal Groebner Bases in Weyl Algebras

Details Universal Groebner Bases in Weyl Algebras Universal Groebner Bases in Weyl Algebras

2010-11-23

arxiv.org/abs/1011.5159v3

Mathematics

Rings and Algebras

7 pages, updated on 1st June 2011, minor corrections

Scientific paper

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.

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