Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy categories of totally acyclic complexes with applications to
  the flat-cotorsion theory   We introduce a notion of total acyclicity associated to a subcategory of an
abelian category and consider the Gorenstein objects they define. These
Gorenstein objects form a Frobenius category, whose induced stable category is
equivalent to the homotopy category of totally acyclic complexes. Applied to
the flat-cotorsion theory over a coherent ring, this provides a new description
of the category of cotorsion Gorenstein flat modules; one that puts it on equal
footing with the category of Gorenstein projective modules.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin