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New posts in local-rings
Definition of homomorphism of local rings
commutative-algebra
maximal-and-prime-ideals
localization
local-rings
Does the category of local rings with residue field $F$ have an initial object?
commutative-algebra
category-theory
local-rings
Can a discrete valuation ring be finitely generated over a field?
algebraic-geometry
commutative-algebra
schemes
algebraic-curves
local-rings
Is there a non-regular depth 1 noetherian local ring with this property?
commutative-algebra
local-rings
For local ring $R$, does funcotor $\operatorname{Hom( Spec}R, X)$ characterize scheme $X$?
abstract-algebra
algebraic-geometry
ring-theory
local-rings
Every Artinian ring is isomorphic to a direct product of Artinian local rings
abstract-algebra
commutative-algebra
local-rings
ring-isomorphism
artinian
Why are local rings called local?
abstract-algebra
ring-theory
local-rings
germs
Question about a proof involving local rings: $R$ has exactly $3$ ideals, show that if $a,b\in I$ then $ab=0$
abstract-algebra
ring-theory
maximal-and-prime-ideals
local-rings
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