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math.RA2010★ 1 cited
Universal Groebner Bases in Weyl Algebras
Roberto Boldini
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…
math.RA2010
Critical cones of characteristic varieties
Roberto Boldini
We show that certain characteristic varieties of a finitely generated module over a given Weyl algebra arising from weighted degree filtrations are equal to the critical cone of so…
math.RA2010★ 1 cited
A topological approach to leading monomial ideals
Roberto Boldini
We introduce a very natural topology on the set of total orderings of monomials of any algebra having a countable basis over a field. This topological space and some notable subspa…