Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From support $\tau$-tilting posets to algebras   The aim of this paper is to study a poset isomorphism between two support
$\tau$-tilting posets. We take several algebraic information from combinatorial
properties of support $\tau$-tilting posets. As an application, we treat a
certain class of basic algebras which contains preprojective algebras of type
$A$, Nakayama algebras, and generalized Brauer tree algebras. We provide a
necessary condition for that an algebra $\Lambda$ share the same support
$\tau$-tilting poset with a given algebra $\Gamma$ in this class. Furthermore,
we see that this necessary condition is also a sufficient condition if $\Gamma$
is either a preprojective algebra of type $A$, a Nakayama algebra, or a
generalized Brauer tree algebra.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex