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Oct 6, 2021 at 14:43 comment added Arrow @DylanWilson ah, I stopped reading after "first isomorphism theorem" assuming it refers to the "usual one" in the categories of groups, rings etc.
Oct 6, 2021 at 14:05 comment added Dylan Wilson @Arrow 4 is not satisfied: A/ker(f) is the image but B/A is the quotient of B by the smallest normal subgroup containing the image of f (which need not be the image of f).
Oct 6, 2021 at 13:59 comment added Arrow How? What about the category of groups?
Mar 27, 2020 at 9:22 comment added Arnaud D. Note that 2. and 3. are actually consequences of 1. and 4.
Mar 26, 2020 at 14:48 comment added Denis Nardin Just for reference: this is the definition in Freyd's Abelian categories (so hardly an obscure one :))
Mar 26, 2020 at 14:37 comment added Bugs Bunny And this is the only meaning I can possible give to the statement in question...
Mar 26, 2020 at 14:36 comment added Bugs Bunny Off course, but this is not the definition here: ncatlab.org/nlab/show/abelian+category
Mar 26, 2020 at 14:33 history answered Dylan Wilson CC BY-SA 4.0