Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graded and Koszul categories   Koszul algebras have arisen in many contexts; algebraic geometry,
combinatorics, Lie algebras, non-commutative geometry and topology. The aim of
this paper and several sequel papers is to show that for any finite dimensional
algebra there is always a naturally associated Koszul theory. To obtain this,
the notions of Koszul algebras, linear modules and Koszul duality are extended
to additive (graded) categories over a field. The main focus of this paper is
to provide these generalizations and the necessary preliminaries.

19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph