Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On associative spectra of operations   The distance of an operation from being associative can be "measured" by its
associative spectrum, an appropriate sequence of positive integers. Associative
spectra were introduced in a publication by B. Cs\'ak\'any and T. Waldhauser in
2000 for binary operations (see arXiv:1102.2124). We generalize this concept to
p-ary operations, interpret associative spectra in terms of equational
theories, and use this interpretation to find a characterization of fine
spectra, to construct polynomial associative spectra, and to show that there
are continuously many different spectra. Furthermore, an equivalent
representation of bracketings is studied.

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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: acc-phys