Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of words and semigroup algebras which are sums of locally
  nilpotent subalgebras   We construct new examples of non-nil algebras with any number of generators,
which are direct sums of two locally nilpotent subalgebras. As all previously
known examples, our examples are contracted semigroup algebras and the
underlying semigroups are unions of locally nilpotent subsemigroups. In our
constructions we make more transparent than in the past the close relationship
between the considered problem and combinatorics of words.

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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga