Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On triangle equivalences of stable categories   We apply the Auslander-Buchweitz approximation theory to show that the Iyama
and Yoshino's subfactor triangulated category can be realized as a triangulated
quotient. Applications of this realization go in three directions. Firstly, we
recover both a result of Iyama and Yang and a result of the third author.
Secondly, we extend the classical Buchweitz's triangle equivalence from
Iwanaga-Gorenstein rings to Noetherian rings. Finally, we obtain the converse
of Buchweitz's triangle equivalence and a result of Beligiannis, and give
characterizations for Iwanaga-Gorenstein rings and Gorenstein algebras

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga