monic
Speech parts
1. monic - Noun
2. monic - Adjective
Meaning
(mathematics) Of a polynomial whose leading coefficient is one.
(biology) Monomorphic.
(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.
monic (plural monics)
A monic polynomial.
Monic (not comparable)
(linguistics) of the branch of the Austroasiatic language family that includes the Mon language.
Phrases with the word
Anagrams
Examples
For this, let us consider k monic polynomials of degree one: : They are pairwise coprime if the are all different.
Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word.
This monic equation has the same solutions as the original.
While this is not exactly true for monic maps, it is very close, so this has caused little trouble, unlike the case of epimorphisms.