Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nontriviality results for the characteristic algebra of a DGA   Assume that we are given a semifree noncommutative differential graded
algebra (DGA for short) whose differential respects an action filtration. We
show that the canonical unital algebra map from the homology of the DGA to its
characteristic algebra, i.e. the quotient of the underlying algebra by the
two-sided ideal generated by the boundaries, is a monomorphism. The main tool
that we use is the weak division algorithm in free noncommutative algebras due
to P. Cohn.

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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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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: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg