monic

Adjective

 * 1)  Of a polynomial whose leading coefficient is one.
 * 2)  Monomorphic.
 * 3)  Of a morphism: that it is a monomorphism.
 * It is often convenient to view a monic arrow $$i: A \rightarrowtail C$$, defined in Chapter 1, as showing that A is a copy of a part of C, and that i maps the copy on to that part. For example, in Set, the monic arrows are the one-to-one functions and, clearly, if i is one-to-one then A is a copy of a subset of C, namely of the image of i.
 * If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.
 * If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.

Noun

 * 1) A monic polynomial.

Translations

 * Catalan: mònic
 * French: ,
 * Spanish: mónico