I think in category theory the notion "monomorphism" is more common than "injective morphism", as injectivity needs elements in its definition, which in general categories are not available for morphisms. This was missleading in the original article.
See for example Barry Mitchel, Theory of categories, Pure and Applied Mathematics, Vol. XVII Academic Press, New York-London 1965, MR202787, Zbl 0136.00604, p. 5 --Ulf Rehmann 12:10, 16 February 2012 (CET)
Injection. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Injection&oldid=21090