Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolution quiver and cyclic homology criteria for Nakayama algebras   If a Nakayama algebra is not cyclic, it has finite global dimension. For a
cyclic Nakayama algebra, there are many characterizations of when it has finite
global dimension. In [She17], Shen gave such a characterization using Ringel's
resolution quiver. In [IZ92], the second author, with Zacharia, gave a cyclic
homology characterization for when a monomial relation algebra has finite
global dimension. We show directly that these criteria are equivalent for all
Nakayama algebras. Our comparison result also reproves both characterizations.
In a separate paper we discuss an interesting example that came up in our
attempt to generalize this comparison result to arbitrary monomial relation
algebras [HI19].

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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th