Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schreier split extensions of preordered monoids   Properties of preordered monoids are investigated and important subclasses of
such structures are studied. The corresponding full subcategories of the
category of preordered monoids are functorially related between them as well as
with the categories of preordered sets and monoids. Schreier split extensions
are described in the full subcategory of preordered monoids whose preorder is
determined by the corresponding positive cone.

33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an