Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszulity of finitely semi-graded algebras   In this paper, we introduce the class of finitely semi-graded algebras which
extends the connected graded algebras finitely generated in degree one. The
Koszul behavior of finitely semi-graded algebras is investigated by the
distributivity of some associated lattice of ideals. The Hilbert series, the
Poincar\'e series and the Yoneda algebra are defined for this class of
algebras. Finitely semi-graded algebras include many important examples of non
$\mathbb{N}$-graded algebras finitely generated in degree one coming from
mathematical physics, and for these concrete examples the Koszulity will be
established, as well as, the explicit computation of its Hilbert and Poincar\'e
series.

25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph