monic
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See also: Monic
English
Etymology
Adjective
monic (not comparable)
- (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.
- 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.
Noun
monic (plural monics)
- A monic polynomial.
Translations
of a polynomial whose leading coefficient is one