Universal Groebner Bases in Weyl Algebras
Rings and Algebras
2011-06-02 v3 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.1011.5159,
title = {Universal Groebner Bases in Weyl Algebras},
author = {Roberto Boldini},
journal= {arXiv preprint arXiv:1011.5159},
year = {2011}
}
Comments
7 pages, updated on 1st June 2011, minor corrections