Definition of Epimorphism. Meaning of Epimorphism. Synonyms of Epimorphism

- \mathbb {Z} \to \mathbb {Q} } is a ring epimorphism. The dual of an epimorphism is a monomorphism (i.e. an epimorphism in a category C is a monomorphism in...
- is one in which every epimorphism is conormal. A monomorphism is normal if it is the kernel of some morphism, and an epimorphism is conormal if it is the...
- split epimorphism ⟹ epimorphism (surjective) ⟹ epimorphism (right cancelable) ; {\displaystyle {\text{split epimorphism}}\implies {\text{epimorphism (surjective)}}\implies...
- morphism f : X → Y is called an epimorphism if g1 ∘ f = g2 ∘ f implies g1 = g2 for all morphisms g1, g2 : Y → Z. An epimorphism can be called an epi for short...
- retractions are also called split epimorphisms. In an abelian category, if f : X → Y {\displaystyle f:X\to Y} is a split epimorphism with split monomorphism g...
- 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...
- is not necessarily surjective. Every coequalizer is an epimorphism. In a topos, every epimorphism is the coequalizer of its kernel pair. In categories with...
- monomorphism and every epimorphism is normal. This means that every monomorphism is a kernel of some morphism, and every epimorphism is a cokernel of some...
- commutative diagram are exact and m and p are epimorphisms and q is a monomorphism, then n is an epimorphism. If the rows in the commutative diagram are...
- M''} occurs as the second arrow of a sequence in E (it is an admissible epimorphism) and N → M ″ {\displaystyle N\to M''} is any arrow in E. Then their pullback...