Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primary decomposable subspaces of $k[t]$ and Right ideals of the first
  Weyl algebra $A_{1}(k)$ in characteristic zero   In this article, we describe the right ideals of $A_1:=k[t,\partial]$, the
first Weyl agebra, over any field $k$ of characteristic zero. For this, we
define the notion of primary decomposable subspaces of $k[t]$. This description
generalizes a result of Cannings and Holland obtained for an algebraically
closed field $k$. Dans cet article, on d\'ecrit les id\'eaux \`a droite de
$A_1$ sur un corps quelconque de caract\'eristique nulle. Pour cela on
d\'efinit la notion de sous-espaces d\'ecomposables primaires de $k[t]$. Cette
description g\'en\'eralise un r\'esultat de Cannings et Holland obtenu pour un
corps $k$ alg\'ebriquement clos.

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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci