Sentences with MONOMORPHISM
Check out our example sentences below to help you understand the context.Sentences
1
"In category theory, a monomorphism is a morphism that is left-cancellable in composition with any other morphism."
2
"For sets, monomorphisms are injective functions."
3
"In programming language theory, a monomorphism is a type-restricted function that has been defined to be a member of a specific type class."
4
"In the context of graph homomorphisms, a monomorphism is commonly called an injective homomorphism."
5
"A monomorphism in the category of sets is precisely an injective function."
6
"In group theory, a monomorphism between two groups is often called an injective homomorphism."
7
"A monomorphism with a left inverse is necessarily an isomorphism."
8
"If two monomorphisms into one object are equal, then the monomorphisms from the two objects are equal."
9
"In the category of sets, monomorphisms are exactly the injective functions."
10
"In the category of groups, monomorphisms are exactly the injective homomorphisms."
11
"In the category of topological spaces, monomorphisms are exactly the continuous injective functions."
12
"In the category of modules over a ring, monomorphisms are exactly the injective module homomorphisms."
13
"In the category of metric spaces, monomorphisms are exactly the distance-decreasing maps."
14
"A monomorphism can be factored as the composition of an epimorphism and a split monomorphism."
15
"In the category of pointed sets, monomorphisms are exactly the injective pointed functions."
16
"A monomorphism with a right inverse need not be an isomorphism."
1
"In category theory, a monomorphism is a morphism f: X → Y that is left-cancellative."
2
"The inclusion map of any subset is a monomorphism in set theory."
3
"A monomorphism in group theory is an injective group homomorphism."
4
"In algebra, a monomorphism is an injective ring homomorphism."
5
"A monomorphism in topology is an embedding of one topological space into another."
6
"The identity function is a monomorphism in the category of sets."
7
"A monomorphism in logic is a function that preserves truth values."
8
"In computer science, a monomorphism is a type-preserving function."
9
"A monomorphism in graph theory is an injective graph homomorphism."
10
"The inclusion of a subobject is usually a monomorphism."
