categorical property: every morphism can be decomposed into an epimorphism and monomorphism
92729
Morphism decomposition
149849
Let $F$ be a field and $f: \mathbb{Z} \to F$ be a ring epimorphism.
63146
Proof of properties of injective and surjective functions.
87451
Construction of matrices under ZFC axioms
80626
Is this an equivalent formulation of "surjective" resp. "epimorphism"?
22298
Categorical Pasting Lemma
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
12060
Homeomorphism to graph
46664
Is every endomorphism of the quaternion ring surjective?
5802
Proving the universal mapping property for polynomial rings
143043
When is a local homeomorphism a covering map?
70797
Why doesn't the definition of a category require an explicit notion of morphisms equality?
133660
When can a homomorphism be determined entirely by its generators
77563
Homeomorphism between spaces equipped with cofinite topologies
25383
Morphism between quotient sheaf ($K_{X}/\mathcal{O}_{X}$) and $\bigoplus_{x\in\mathcal{X}}i_{x,*}(K(X)/\mathcal{O}_{X,x})$
60760
Ring homomorphism and characteristic