monic

Adjective

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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.- 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*.

- It is often convenient to view a

*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.

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.005