monic

mono- +‎ -ic

monic (not comparable)

1. (mathematics) of a polynomial whose leading coefficient is one
2. (biology) monomorphic
3. (category theory) Of a morphism: that it is a monomorphism.
   • 1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, →ISBN, page 5:

     It is often convenient to view a monic arrow ${\displaystyle i:A\rightarrowtail C}$ , 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.

• Minco, Nomic, comin, comin', nomic