New posts in commutative-algebra

What's the projective limit of these polynomial rings ?

The Picard-Brauer short exact sequence

Extending Herstein's Challenging Exercise to Modules

Primary decomposition of an ideal (exercise 7.8 in Reid, Undergraduate Commutative Algebra) [duplicate]

In $K[X,Y]$, is the power of any prime also primary?

Localization at prime ideals in von Neumann regular rings [closed]

Local strictly henselian $\mathbb{Q}$-algebras (i.e. "points in étale topology")

Kähler differentials of tensor product

A commutative group structure on $R\times R$ for a ring $R$

Family of generators of a module over a local ring [duplicate]

Does free functor preserve monomorphism?

Is this ring Noetherian?

Are $(X+1,X), (X^2+4,5)$ and $(X^2+1,X+2)$ maximal or prime?

Characterize the commutative rings with trivial group of units

Does this "extension property" for polynomial rings satisfy a universal property?

Artinian if and only if Noetherian

When is $\mathbb{Z}$ a flat $\mathbb{Z}G$-module?

Tensor products commute with inductive limit

If $I$ is a finitely generated ideal of $A[X]$, is $I\cap A$ necessarily finitely generated for a commutative unital ring $A$?

Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.