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In Algebra.Morphism.Structures
and the similar modules for lattices and modules, we define IsXHomomorphism
, IsXMonomorphism
, and IsXIsomorphism
. We do not currently define IsXEpimorphism
, for morphisms that are surjective but not necessarily injective. This feels an obvious omission, and would be useful for defining, for example, projective objects (cf. wp:Projective module)
MatthewDaggitt
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