New posts in commutative-algebra

Extension and contraction of ideals in polynomial rings

Tor Functor Commutes with Direct Limits

every field of characteristic 0 has a discrete valuation ring?

Commutative integral domain with d.c.c. is a field [duplicate]

Normalisation of $k[x,y]/(y^2-x^2(x-1))$

Why is this ring not Cohen-Macaulay?

$K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal

$A/ I \otimes_A A/J \cong A/(I+J)$

Show that $M[x]$ is a Noetherian $A[x]$-module.

Are bimodules over a commutative ring always modules?

A quotient $\mathcal{O}/\mathfrak{a}$ of a Dedekind domain is principal (Neukirch exer 1.3.5)

Hartshorne Exercise 1.1 (a)

Spectrum of a ring is irreducible if and only if nilradical is prime (Atiyah-Macdonald, Exercise 1.19)

Is the ring of p-adic integers of finite type over the ring of integers?

Integral closure of p-adic integers in maximal unramified extension

A sufficient condition for a domain to be Dedekind?

The rank of Jacobian matrix at a point of affine variety is independent of choice of generators

Trying to understand the definition of Hilbert functions

Any element of $\mathbf{Z}[\xi]$ is congruent to an integer modulo $(1-\xi)^2$ if multiplied by a suitable power of $\xi$

Is every prime element of a commutative ring "veryprime"?