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...

normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is a category in which every monomorphism is...

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...

split monomorphism is always a monomorphism, for both meanings of monomorphism. For sets and vector spaces, every monomorphism is a split monomorphism, but...

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...

sexual selection and natural selection. The opposite of dimorphism is monomorphism, when both biological sexes are phenotypically indistinguishable from...

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...

{\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...

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...

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...

In programming language theory and type theory, polymorphism is the use of a single symbol to represent multiple different types. In object-oriented programming...

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...

(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...

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...

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...

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...

A unimorph or monomorph is a cantilever that consists of one active layer and one inactive layer. In the case where active layer is piezoelectric, deformation...

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...

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...

Look up monomorphic or monomorphism in Wiktionary, the free dictionary. Monomorphic or Monomorphism may refer to: Monomorphism, an injective homomorphism...

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;...

an epimorphism. Every section is a monomorphism. The following three statements are equivalent: f is a monomorphism and a retraction; f is an epimorphism...

dimorphisms seen in the order Charadriiformes. However, cases of sexual monomorphism, where there are no distinguishing physical features besides external...

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...

crustaceans. The male and female of a species may be physically alike (sexual monomorphism) or have physical differences (sexual dimorphism). In sexually dimorphic...

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...

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...

embeddings, and that all embeddings are monomorphisms. Other typical requirements are: any extremal monomorphism is an embedding and embeddings are stable...

m} is a regular monomorphism, i.e. the equalizer of a pair of morphisms. (Recall also that an equalizer is automatically a monomorphism). In an abelian...

221-223. Dunham, A. E., and V. H. W. Rudolf. "Evolution of sexual size monomorphism: the influence of passive mate guarding." Journal of evolutionary biology...