Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On modular computation of Groebner bases with integer coefficients   Let $I_1\subset I_2\subset\dots$ be an increasing sequence of ideals of the
ring $\Bbb Z[X]$, $X=(x_1,\dots,x_n)$ and let $I$ be their union. We propose an
algorithm to compute the Gr\"obner base of $I$ under the assumption that the
Gr\"obner bases of the ideal $\Bbb Q I$ of the ring $\Bbb Q[X]$ and the the
ideals $I\otimes(\Bbb Z/m\Bbb Z)$ of the rings $(\Bbb Z/m\Bbb Z)[X]$ are known.
  Such an algorithmic problem arises, for example, in the construction of
Markov and semi-Markov traces on cubic Hecke algebras.

3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th