Definition of Epimorphisms. Meaning of Epimorphisms. Synonyms of Epimorphisms

- category can (and often will) have more epimorphisms. As for most concepts in category theory, epimorphisms are preserved under equivalences of categories:...
- Morphisms having a right inverse are always epimorphisms, but the converse is not true in general, as an epimorphism may fail to have a right inverse. If a...
- and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is...
- epimorphisms: in fact, the epimorphisms in this subcategory are precisely those morphisms with dense images in their codomains, so that epimorphisms need...
- corresponding admissible epimorphisms, and dually. The composition of two admissible monomorphisms is admissible (likewise admissible epimorphisms); Suppose M →...
- Right-cancellative morphisms are called epimorphisms. Specifically, surjective functions are precisely the epimorphisms in the category of sets. The prefix...
- homomorphisms are vastly different from epimorphisms in the category of rings. For example, the inclusion Z ⊆ Q is a ring epimorphism, but not a surjection. However...
- Morphine, formerly also called morphia, is an opiate that is found naturally in opium, a dark brown resin produced by drying the latex of opium poppies...
- replace "monomorphism" by "epimorphism" above and reverse arrows. A quotient object of A is then an equivalence class of epimorphisms with domain A. However...
- complete). AB4*) A satisfies AB3*), and the product of a family of epimorphisms is an epimorphism. AB5*) A satisfies AB3*), and filtered limits of exact sequences...