Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the decomposition group of a zero-dimensional ideal by
  elimination method   In this note, we show that the decomposition group $Dec(I)$ of a
zero-dimensional radical ideal $I$ in ${\bf K}[x_1,\ldots,x_n]$ can be
represented as the direct sum of several symmetric groups of polynomials based
upon using Gr\"{o}bner bases. The new method makes a theoretical contribution
to discuss the decomposition group of $I$ by using Computer Algebra without
considering the complexity. As one application, we also present an approach to
yield new triangular sets in computing triangular decomposition of polynomial
sets ${\mathbb P}$ if $Dec(<{\mathbb P}>)$ is known.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int