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New posts in commutative-algebra
What's the projective limit of these polynomial rings ?
commutative-algebra
The Picard-Brauer short exact sequence
reference-request
commutative-algebra
ring-theory
Extending Herstein's Challenging Exercise to Modules
abstract-algebra
group-theory
commutative-algebra
examples-counterexamples
Primary decomposition of an ideal (exercise 7.8 in Reid, Undergraduate Commutative Algebra) [duplicate]
algebraic-geometry
commutative-algebra
ideals
In $K[X,Y]$, is the power of any prime also primary?
commutative-algebra
ideals
Localization at prime ideals in von Neumann regular rings [closed]
abstract-algebra
commutative-algebra
localization
Local strictly henselian $\mathbb{Q}$-algebras (i.e. "points in étale topology")
algebraic-geometry
commutative-algebra
topos-theory
etale-cohomology
hensels-lemma
Kähler differentials of tensor product
abstract-algebra
algebraic-geometry
commutative-algebra
A commutative group structure on $R\times R$ for a ring $R$
group-theory
commutative-algebra
Family of generators of a module over a local ring [duplicate]
commutative-algebra
Does free functor preserve monomorphism?
commutative-algebra
category-theory
Is this ring Noetherian?
commutative-algebra
ring-theory
noetherian
Are $(X+1,X), (X^2+4,5)$ and $(X^2+1,X+2)$ maximal or prime?
commutative-algebra
ideals
maximal-and-prime-ideals
Characterize the commutative rings with trivial group of units
abstract-algebra
commutative-algebra
Does this "extension property" for polynomial rings satisfy a universal property?
commutative-algebra
ring-theory
category-theory
Artinian if and only if Noetherian
commutative-algebra
ring-theory
modules
When is $\mathbb{Z}$ a flat $\mathbb{Z}G$-module?
group-theory
commutative-algebra
group-cohomology
Tensor products commute with inductive limit
abstract-algebra
algebraic-geometry
commutative-algebra
category-theory
If $I$ is a finitely generated ideal of $A[X]$, is $I\cap A$ necessarily finitely generated for a commutative unital ring $A$?
abstract-algebra
commutative-algebra
ring-theory
ideals
Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.
abstract-algebra
ring-theory
commutative-algebra
ideals
maximal-and-prime-ideals
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