Definition of Epimorph. Meaning of Epimorph. Synonyms of Epimorph

Here you will find one or more explanations in English for the word Epimorph. Also in the bottom left of the page several parts of wikipedia pages related to the word Epimorph and, of course, Epimorph synonyms and on the right images related to the word Epimorph.

Definition of Epimorph

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Meaning of Epimorph from wikipedia

- 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...
- In category theory, an epimorphism is a morphism f : X → Y that is right-cancellative in the sense that, for all objects Z and all morphisms g1, g2: Y...
- and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is...
- the original, unaltered form. An incrustation pseudomorph, also called epimorph, results from a process by which a mineral is coated by another and the...
- split epimorphism is always an epimorphism, for both meanings of epimorphism. For sets and vector spaces, every epimorphism is a split epimorphism, but...
- 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...
- 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...
- 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...
- biproducts, it has all kernels and cokernels, and all monomorphisms and epimorphisms are normal. This definition is equivalent to the following "piecemeal"...
- 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...