Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smarandache Semigroups   Generally, in any human field, a Smarandache Structure on a set A means a
weak structure W on A such that there exists a proper subset B contained in A
which is embedded with a stronger structure S. These types of structures occur
in our everyday life, that's why we study them in this book. Thus, as a
particular case: A Smarandache semigroup is a semigroup A which has a proper
subset B contained in A that is a group (with respect to the same binary
operation on A).

5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol