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)
Read more about this topic: Zero Element
Famous quotes containing the word objects:
“Women have seldom sufficient employment to silence their feelings; a round of little cares, or vain pursuits frittering away all strength of mind and organs, they become naturally only objects of sense.”
—Mary Wollstonecraft (1759–1797)
“We are thus assisted by natural objects in the expression of particular meanings. But how great a language to convey such pepper-corn informations!”
—Ralph Waldo Emerson (1803–1882)