List of Zero Terms - Zero Objects

Zero Objects

A zero object in a category is both an initial and terminal object (and so an identity under both coproducts and products). For example, the trivial structure (containing only the identity) is a zero object in categories where morphisms must map identities to identities. Specific examples include:

  • The trivial group, containing only the identity (a zero object in the category of groups)
  • The zero module, containing only the identity (a zero object in the category of modules over a ring)

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Famous quotes containing the word objects:

    in the mind of man,
    A motion and a spirit, that impels
    All thinking things, all objects of all thought,
    And rolls through all things.
    William Wordsworth (1770–1850)