Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fr\"olicher-Nijenhuis bracket for derivation based non commutative
  differential forms   In commutative differential geometry the Fr\"olicher-Nijenhuis bracket
computes all kinds of curvatures and obstructions to integrability. In \cit!{3}
the Fr\"olicher-Nijenhuis bracket was developped for universal differential
forms of non-commutative algebras, and several applications were given. In this
paper this bracket and the Fr\"olicher-Nijenhuis calculus will be developped
for several kinds of differential graded algebras based on derivations, which
were indroduced by \cit!{6}.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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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: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: astro-ph