View example sentences and word forms for Adjoints.
Adjoints meaning
plural of adjoint
Example sentences (4)
Analogously, one can show that the cokernel functors for abelian groups, vector spaces and modules are left adjoints.
In Mac Lane, Categories for the working mathematician, chap. 4, "Adjoints", one can verify the following usage.
Let us first consider functions that preserve all joins (i.e. lower adjoints of Galois connections), since this case is simpler than the situation for complete homomorphisms.
Note however that a right inverse of F (i.e. a functor G such that FG is naturally isomorphic to 1 D ) need not be a right (or left) adjoint of F. Adjoints generalize two-sided inverses.