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See also: 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 , 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.