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- W3100668410 abstract "We present the definition of a dedualizing complex of bicomodules over a pair of cocoherent coassociative coalgebras $mathcal {C}$ and $mathcal {D}$ . Given such a complex $mathcal {B}^{bullet }$ , we construct an equivalence between the (bounded or unbounded) conventional, as well as absolute, derived categories of the abelian categories of left comodules over $mathcal {C}$ and left contramodules over $mathcal {D}$ . Furthermore, we spell out the definition of a dedualizing complex of bisemimodules over a pair of semialgebras, and construct the related equivalence between the conventional or absolute derived categories of the abelian categories of semimodules and semicontramodules. Artinian, co-Noetherian, and cocoherent coalgebras are discussed as a preliminary material." @default.
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- W3100668410 date "2017-10-12" @default.
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- W3100668410 title "Dedualizing Complexes of Bicomodules and MGM Duality Over Coalgebras" @default.
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- W3100668410 doi "https://doi.org/10.1007/s10468-017-9736-6" @default.
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