Monomorphisms are a categorical generalization of injective functions (also called `one-to-one functions`); in some categories the notions coincide, but monomorphisms are more general, as in the examples below. The categorical dual of a monomorphism is an epimorphism, i.e. a monomorphism in a category C is an epimorphism in the dual category Cop.....
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http://en.wikipedia.org/wiki/Monomorphism
(from the article `homomorphism`) Special types of homomorphisms have their own names. A one-to-one homomorphism from to is called a monomorphism, and a homomorphism that is `onto,` ...
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http://www.britannica.com/eb/a-z/m/113
a one-to-one homomorphism.
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https://www.infoplease.com/dictionary/monomorphism
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