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In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjecture about Morita equivalences of Azumaya… Click to show full abstract
In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non-commutative curves to be Morita equivalent.
Keywords:
noetherian schemes;
commutative noetherian;
theory non;
morita theory;
non commutative
Journal Title: Advances in Mathematics
Year Published: 2022
Link to full text (if available)
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Journal Title: Advances in Mathematics
Year Published: 2022
Link to full text (if available)
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recommendations!