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math.RA2012★ 1 cited
Computation of Bivariate Characteristic Polynomials of Finitely Generated Modules over Weyl Algebras
Christian Dönch, Alexander Levin
In this paper we generalize the classical Groebner basis technique to prove the existence and present a method of computation of a dimension polynomial in two variables associated…
math.AC2012
Multivariate Difference-Differential Dimension Polynomials
Alexander Levin
In this paper we generalize the Ritt-Kolchin method of characteristic sets and the classical Gröbner basis technique to prove the existence and obtain methods of computation of mul…
math.AC2012
On the ascending chain condition for mixed difference ideals
Alexander Levin
We show that the ring of difference polynomials over a difference field does not satisfy the ascending chain condition for mixed difference ideals. This result solves an open probl…