Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Systems of Equations over Free Products of Groups   Using an analogue of Makanin-Razborov diagrams, we give a description of the
solution set of systems of equations over an equationally Noetherian free
product of groups $G$. Equivalently, we give a parametrisation of the set
$Hom(H, G)$ of all homomorphisms from a finitely generated group $H$ to $G$.
Furthermore, we show that every algebraic set over $G$ can be decomposed as a
union of finitely many images of algebraic sets of NTQ systems.
  If the universal Horn theory of $G$ (the theory of quasi-identities) is
decidable, then our constructions are effective.

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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph