View source for Monic

{{also|Monic}}
==English==

===Etymology===
From {{confix|en|mono|ic}}.

===Adjective===
{{en-adj|-}}

# {{lb|en|mathematics}} Of a [[polynomial]] whose leading [[coefficient]] is one. {{C|en|Polynomials}}
# {{lb|en|biology}} [[monomorphic|Monomorphic]].
# {{lb|en|category theory}} ''Of a morphism'': that it is a [[monomorphism]].
#: {{ux|en|If a composition (of morphisms) is '''monic''' then, by theorem, the pre-composite of it is '''monic''' as well.}}
#* {{quote-book|en|year=1995|author=Colin McLarty|title=Elementary Categories, Elementary Toposes|chapter=Introduction|url=|isbn=0 19 851473 5|page=5}}
#*: It is often convenient to view a '''monic''' arrow <math>i: A \rightarrowtail C</math>, 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''.

===Noun===
{{en-noun}}

# A monic [[polynomial]].

====Translations====
{{trans-top|of a polynomial whose leading coefficient is one}}
* Catalan: {{t|ca|mònic}}
* French: {{t+|fr|unitaire}}, {{t+|fr|normalisé}}
* Spanish: {{t|es|mónico|m}}
{{trans-bottom}}

===Anagrams===
* {{anagrams|en|a=cimno|Minco|Nomic|comin|comin'|nomic}}