epimorphism
noun as in strong fondness
Word Combinations
Example:In the category of groups, the map f: G -> H such that every element of H is the image of some element in G is an epimorphism of groups.
Definition:A special type of epimorphism in the context of group theory, where the morphism is a group homomorphism that is surjective.
From epimorphism of groups
Example:In the category of sets, the map f: A -> B, where A is the set of all people and B is the set of all cities, can be an epimorphism if f is a mapping that sends each person to their city of residence.
Definition:A morphism in a category that is right-cancellative, i.e., if f(g) = f(h), then g = h.
From epimorphism in a category
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