A property P of morphisms of $S$-schemes $f : X \rightarrow Y$ is local on $X$, or $Y$, or $S$ or
68786
"This property is local on" : properties of morphisms of $S$-schemes
100954
Restricting a Weil divisor to a local scheme
67633
Generic flatness on modules
117536
Why is the localization at a prime ideal a local ring?
54690
Proving normality of affine schemes
133706
If R is a local ring, then its maximal left-ideal is a left and right ideal
50828
Weil divisors on normal Noetherian schemes
45098
How do we prove the "lying over" property for integral extensions?
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
97810
bijective morphism of affine schemes
127886
Artin's lemma and some morphisms.
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
52554
Showing that localization is an exact functor
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
99671
Are surjective sheaf morphisms locally surjective?
51790
Krull Dimension of a scheme