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- W2113758676 abstract "To any additive category C, we associate in a functorial way two additive categories A(C), B(C). The category A(C), resp. B(C), is the re∞ection of C in the category of additive categories with cokernels, resp. kernels, and cokernel, resp. kernel, preserving functors. Then the iteration AB(C) is the re∞ection of C in the category of abelian categories and exact functors. We call A(C) and B(C) the Freyd categories of C since the flrst systematic study of these categories was done by Freyd in the mid-sixties. The purpose of the paper is to study further the Freyd categories and to indicate their applications to the module theory of an abelian or triangulated category." @default.
- W2113758676 created "2016-06-24" @default.
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- W2113758676 date "2000-01-01" @default.
- W2113758676 modified "2023-10-18" @default.
- W2113758676 title "On the Freyd categories of an additive category" @default.
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- W2113758676 doi "https://doi.org/10.4310/hha.2000.v2.n1.a11" @default.
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