monomorphism in English

noun

state of having a single shape, state of having one form (Biology)

Use "monomorphism" in a sentence

Below are sample sentences containing the word "monomorphism" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "monomorphism", or refer to the context using the word "monomorphism" in the English Dictionary.

1. In algebra a monomorphism is an injective homomorphism.

2. In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism.

3. An abelian category is a pre-abelian category such that every monomorphism and epimorphism is normal.

4. In an abelian category, every monomorphism is the kernel of its cokernel, and every epimorphism is the cokernel of its kernel.

5. However, in some contexts, such as abelian categories, "monomorphism" and "epimorphism" are backed by sufficiently strong conditions that in fact they do allow such a reinterpretation on points.

6. The category of sheaves of abelian groups on a topological space X is an abelian category, and so it makes sense to ask when a morphism f: B → C of sheaves is injective (a monomorphism) or surjective (an epimorphism).