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:
“Communists have always played an active role in the fight by colonial countries for their freedom, because the short- term objects of Communism would always correspond with the long-term objects of freedom movements.”
—Nelson Mandela (b. 1918)
“My objects dream and wear new costumes,
compelled to, it seems, by all the words in my hands
and the sea that bangs in my throat.”
—Anne Sexton (1928–1974)