Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hochschild cohomology, finiteness conditions and a generalisation of
  $d$-Koszul algebras   Given a finite-dimensional algebra $\Lambda$ and $A \geqslant 1$, we
construct a new algebra $\tilde{\Lambda}_A$, called the stretched algebra, and
relate the homological properties of $\Lambda$ and $\tilde{\Lambda}_A$. We
investigate Hochschild cohomology and the finiteness condition (Fg), and use
stratifying ideals to show that $\Lambda$ has (Fg) if and only if
$\tilde{\Lambda}_A$ has (Fg). We also consider projective resolutions and apply
our results in the case where $\Lambda$ is a $d$-Koszul algebra for some $d
\geqslant 2$.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics