Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Koszul duality for associative algebras   We present a unifying framework for the key concepts and results of higher
Koszul duality theory for N-homogeneous algebras: the Koszul complex, the
candidate for the space of syzygies, and the higher operations on the Yoneda
algebra. We give a universal description of the Koszul dual algebra under a new
algebraic structure. For that we introduce a general notion: Gr\"obner bases
for algebras over non-symmetric operads.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci