The Hermitian Morita theorems.
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Verhaege, P., Verschoren, A. (1998)
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J. L. García, M. Saorín (1988)
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Enrico M. Vitale (1992)
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Piotr Dowbor (2000)
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Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective -module is indecomposable (Corollary 3.1) and the socle of the tensor product functor is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors and )is full (resp. strictly full)...
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We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.
Gabriele Vezzosi (1997)
Rendiconti del Seminario Matematico della Università di Padova
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