Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On singular equivalences of Morita type with level and Gorenstein
  algebras   Rickard proved that for certain self-injective algebras, a stable equivalence
induced from an exact functor is a stable equivalence of Morita type, in the
sense of Brou\'{e}. In this paper we study singular equivalences of finite
dimensional algebras induced from tensor product functors. We prove that for
certain Gorenstein algebras, a singular equivalence induced from tensoring with
a suitable complex of bimodules, induces a singular equivalence of Morita type
with level, in the sense of Wang. This recovers Rickard's theorem in the
self-injective case.

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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: q-bio