context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from X to Y is often denoted with the notation...
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Morphism (section Monomorphisms and epimorphisms)
morphism f : X → Y is called a monomorphism if f ∘ g1 = f ∘ g2 implies g1 = g2 for all morphisms g1, g2 : Z → X. A monomorphism can be called a mono for short...
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Normal morphism (redirect from Normal monomorphism)
normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is a category in which every monomorphism is...
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Homomorphism (section Monomorphism)
split monomorphism is always a monomorphism, for both meanings of monomorphism. For sets and vector spaces, every monomorphism is a split monomorphism, but...
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Sexual dimorphism (redirect from Sexual monomorphism)
sexual selection and natural selection. The opposite of dimorphism is monomorphism, when both biological sexes are phenotypically indistinguishable from...
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monomorphism is a monomorphism i in an abelian category C such that for a morphism f in C, the composition f i {\displaystyle fi} is a monomorphism only...
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homomorphism is also called a monomorphism. However, in the more general context of category theory, the definition of a monomorphism differs from that of an...
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Ring homomorphism (redirect from Ring monomorphism)
Injective ring homomorphisms are identical to monomorphisms in the category of rings: If f : R → S is a monomorphism that is not injective, then it sends some...
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Section (category theory) (redirect from Split monomorphism)
{\displaystyle f} is a retraction of g {\displaystyle g} . Every section is a monomorphism (every morphism with a left inverse is left-cancellative), and every...
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exists a monomorphism from X to an injective object. A monomorphism g in C {\displaystyle \mathbf {C} } is called an essential monomorphism if for any...
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Polymorphism (computer science) (redirect from Monomorphism (computer science))
In programming language theory and type theory, polymorphism is the use of a single symbol to represent multiple different types. In object-oriented programming...
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epimorphism. The dual of an epimorphism is a monomorphism (i.e. an epimorphism in a category C is a monomorphism in the dual category Cop). Many authors in...
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a monomorphism is dual to the property of being an epimorphism. Applying duality, this means that a morphism in some category C is a monomorphism if...
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(from A to B) has kernel {0}; that is, if and only if that map is a monomorphism (injective, or one-to-one). Consider the dual sequence B → C → 0. The...
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Look up monomorphic or monomorphism in Wiktionary, the free dictionary. Monomorphic or Monomorphism may refer to: Monomorphism, an injective homomorphism...
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epimorphism, and every section is a monomorphism. Furthermore, the following three statements are equivalent: f is a monomorphism and a retraction; f is an epimorphism...
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Graph homomorphism (redirect from Graph monomorphism)
In the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a...
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one thinks of a monomorphism in terms of its image. An equivalence class of monomorphisms is determined by the image of each monomorphism in the class;...
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a monomorphism. Conversely, a monomorphism is called normal if it is the kernel of some morphism. A category is called normal if every monomorphism is...
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Linear map (section Monomorphism)
field F and let T: V → W be a linear map. T is said to be injective or a monomorphism if any of the following equivalent conditions are true: T is one-to-one...
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A Hindley–Milner (HM) type system is a classical type system for the lambda calculus with parametric polymorphism. It is also known as Damas–Milner or...
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dimorphisms seen in the order Charadriiformes. However, cases of sexual monomorphism, where there are no distinguishing physical features besides external...
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epimorphisms and q is a monomorphism, then n is an epimorphism. If the rows in the commutative diagram are exact and m and p are monomorphisms and l is an epimorphism...
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an epimorphism. Every section is a monomorphism. The following three statements are equivalent: f is a monomorphism and a retraction; f is an epimorphism...
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embeddings, and that all embeddings are monomorphisms. Other typical requirements are: any extremal monomorphism is an embedding and embeddings are stable...
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crustaceans. The male and female of a species may be physically alike (sexual monomorphism) or have physical differences (sexual dimorphism). In sexually dimorphic...
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preabelian category is abelian if every monomorphism and every epimorphism is normal. This means that every monomorphism is a kernel of some morphism, and every...
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"Reassessing the relationship between juvenile mortality and genetic monomorphism in captive cheetahs". Zoo Biology. 15 (4): 353–369. doi:10...
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endomorphism Epimorphism (surjective homomorphism) Frobenius endomorphism Monomorphism (injective homomorphism) Jacobson (2009), p. 162, Theorem 3.2. Jacobson...
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