Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stratifying systems over the hereditary path algebra with quiver
  $\mathbb{A}_{p,q}$   The authors have proved in [J. Algebra Appl. 14 (2015), no. 6] that the size
of a stratifying system over a finite-dimensional hereditary path algebra $A$
is at most $n$, where $n$ is the number of isomorphism classes of simple
$A$-modules. Moreover, if $A$ is of Euclidean type a stratifying system over
$A$ has at most $n-2$ regular modules. In this work, we construct a family of
stratifying systems of size $n$ with a maximal number of regular elements, over
the hereditary path algebra with quiver $\widetilde{\mathbb {A}}_{p,q} $,
canonically oriented.

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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th