The Category of Groups
If and are group homomorphisms, then so is . This shows that the class (in a sense of category theory) of all groups, together with group homomorphisms as morphisms, forms a category.
Read more about this topic: Group Homomorphism
Famous quotes containing the words category and/or groups:
“I see no reason for calling my work poetry except that there is no other category in which to put it.”
—Marianne Moore (1887–1972)
“... until both employers’ and workers’ groups assume responsibility for chastising their own recalcitrant children, they can vainly bay the moon about “ignorant” and “unfair” public criticism. Moreover, their failure to impose voluntarily upon their own groups codes of decency and honor will result in more and more necessity for government control.”
—Mary Barnett Gilson (1877–?)