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- W2080050838 abstract "We show that a left exact category E with finite coproducts is affine , i.e. it is a slice of an additive category with kernels, if and only if the forgetful functor from the category of abelian groups in E is monadic and the corresponding monad T is nullary , i.e. the canonical maps T (0) + X → T ( X ) are isomorphisms, and the adjoint is comonadic (and then also the corresponding comonad is conullary). This result should be compared with the well-known characterization of additive categories as those for which the same forgetful functor is an equivalence." @default.
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- W2080050838 date "1995-03-01" @default.
- W2080050838 modified "2023-09-27" @default.
- W2080050838 title "Modularity and descent" @default.
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- W2080050838 doi "https://doi.org/10.1016/0022-4049(94)00028-h" @default.
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