Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigid ideals in Gorenstein rings of dimension one   We investigate the existence of ideals $I$ in a one-dimensional Gorenstein
local ring $R$ satisfying $\mathrm{Ext}^{1}_{R}(I,I)=0$.

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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph