Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-generated axial algebras of Monster type $(2\beta, \beta)$   In this paper we prove that $2$-generated primitive axial algebras of Monster
type $(2\beta, \beta)$ over a ring $R$ in which $2$ and $\beta$ are invertible
can be generated as $R$-module by $8$ vectors. We then completely classify
$2$-generated primitive axial algebras of Monster type $(2\beta, \beta)$ over
any field of characteristic other than $2$.

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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat