Composition of Functors which have adjoints has also an adjoint
124003
Composition of adjoint functors
7441
Hom is a left-exact functor
133498
Show that Function Compositions Are Associative
49789
Let $C,D$ be categories and $F:C\to D$ and $G:D\to C$ be adjoint functors. Then $F$ is fully faithful iff the unit is an isomorphism?
127596
Composition of equivalence relations
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
45270
Surjective endomorphisms of finitely generated modules are isomorphisms
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
25260
Extension of a morphism $k^*\rightarrow X$ to $\mathbb{P}^1\rightarrow \overline{X}$
42579
Composition of 2 involutions
2439
If a linear operator has an adjoint operator, it is bounded
86107
Map bounded if composition is bounded
63541
Projective and injective modules; direct sums and products
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
152438
Is the composition of two injective functions injective?
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
52554
Showing that localization is an exact functor