Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of eventually periodic modules in the singularity
  categories   The singularity category of a ring makes only the modules of finite
projective dimension vanish among the modules, so the singularity category is
expected to characterize a homological property of modules of infinite
projective dimension. In this paper, among such modules, we deal with
eventually periodic modules over a left artin ring, and, as our main result, we
characterize them in terms of morphisms in the singularity category. As
applications, we first prove that, for the class of finite dimensional algebras
over a field, being eventually periodic is preserved under singular equivalence
of Morita type with level. Moreover, we determine which finite dimensional
connected Nakayama algebras are eventually periodic when the ground field is
algebraically closed.

8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con