Definition of Epimorphism. Meaning of Epimorphism. Synonyms of Epimorphism

- algebra define an epimorphism simply as an onto or surjective homomorphism. Every epimorphism in this algebraic sense is an epimorphism in the sense of...
- 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...
- 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...
- split epimorphism is always an epimorphism, for both meanings of epimorphism. For sets and vector spaces, every epimorphism is a split epimorphism, but...
- 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...
- 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...
- 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...
- indicates an epimorphism (the map mod 2). This is an exact sequence because the image 2Z of the monomorphism is the kernel of the epimorphism. Essentially...
- means for f to be an epimorphism. In short, the property of being a monomorphism is dual to the property of being an epimorphism. Applying duality, this...