Definition from Wiktionary, the free dictionary
See also: Monic
monic (not comparable)
- (mathematics) of a polynomial whose leading coefficient is one
- (biology) monomorphic
- (category theory) Of a morphism: that it is a monomorphism.
1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, ISBN 0 19 851473 5, page 5:
- It is often convenient to view a monic arrow , 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.