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Definition 2024


Monic

Monic

See also: monic

English

Adjective

Monic (not comparable)

  1. (linguistics) of a branch of the Austro-Asiatic language family of Thailand

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monic

monic

See also: Monic

English

Adjective

monic (not comparable)

  1. (mathematics) of a polynomial whose leading coefficient is one
  2. (biology) monomorphic
  3. (category theory) Of a morphism: that it is a monomorphism.
    • 1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, ISBN 0 19 851473 5, 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.
    If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.

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