monic
nounEtymology From mono- + -ic.
1
A monic polynomial.
monic
adjalso spelled MonicUK /ˈmɒn.ɪk/ · US /ˈmɑ.nɪk/
Etymology From mono- + -ic.
1
Mathematics, Sciences Of a polynomial whose leading coefficient is one.
2
Biology, Natural sciences Monomorphic.
3
Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences 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.
- It is often convenient to view a monic arrow i#58;A#92;rightarrowtailC, 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.1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, →ISBN, page 5:
- Derived terms
- nonmonic