Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reducing homological conjectures by n-recollements   n-recollements of triangulated categories and n-derived-simple algebras are
introduced. The relations between the n-recollements of derived categories of
algebras and the Cartan determinants, homological smoothness and Gorensteinness
of algebras respectively are clarified. As applications, the Cartan determinant
conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry
conjecture is reduced to 2-derived-simple algebras.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat