monic

See also: Monic

English

Etymology

From mono- +‎ -ic.

Pronunciation

• (Received Pronunciation) IPA^(key): /ˈmɒn.ɪk/

• Audio (Southern England):

  (file)

• (General American) IPA^(key): /ˈmɑ.nɪk/
• Rhymes: -ɒnɪk

Adjective

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.

   If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.

   • 1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, →ISBN, page 5:

     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.

Derived terms

• nonmonic

Noun

monic (plural monics)

1. A monic polynomial.

Translations

of a polynomial whose leading coefficient is one

• Catalan: mònic
• French: unitaire (fr), normalisé (fr)
• Spanish: mónico m

Anagrams

• Minco, Nomic, comin, comin', nomic