Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszul and Gorenstein properties for homogeneous algebras   Koszul property was generalized to homogeneous algebras of degree N>2 in [5],
and related to N-complexes in [7]. We show that if the N-homogeneous algebra A
is generalized Koszul, AS-Gorenstein and of finite global dimension, then one
can apply the Van den Bergh duality theorem [23] to A, i.e., there is a
Poincare duality between Hochschild homology and cohomology of A, as for N=2.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol