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New posts in commutative-algebra
Extension and contraction of ideals in polynomial rings
commutative-algebra
ideals
Tor Functor Commutes with Direct Limits
abstract-algebra
commutative-algebra
homological-algebra
every field of characteristic 0 has a discrete valuation ring?
commutative-algebra
Commutative integral domain with d.c.c. is a field [duplicate]
abstract-algebra
commutative-algebra
ring-theory
Normalisation of $k[x,y]/(y^2-x^2(x-1))$
commutative-algebra
integral-dependence
Why is this ring not Cohen-Macaulay?
commutative-algebra
cohen-macaulay
$K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal
abstract-algebra
algebraic-geometry
commutative-algebra
noetherian
krull-dimension
$A/ I \otimes_A A/J \cong A/(I+J)$
abstract-algebra
commutative-algebra
tensor-products
Show that $M[x]$ is a Noetherian $A[x]$-module.
abstract-algebra
commutative-algebra
Are bimodules over a commutative ring always modules?
commutative-algebra
tensor-products
A quotient $\mathcal{O}/\mathfrak{a}$ of a Dedekind domain is principal (Neukirch exer 1.3.5)
commutative-algebra
algebraic-number-theory
ideals
dedekind-domain
Hartshorne Exercise 1.1 (a)
algebraic-geometry
commutative-algebra
Spectrum of a ring is irreducible if and only if nilradical is prime (Atiyah-Macdonald, Exercise 1.19)
commutative-algebra
Is the ring of p-adic integers of finite type over the ring of integers?
algebraic-geometry
commutative-algebra
algebraic-number-theory
Integral closure of p-adic integers in maximal unramified extension
number-theory
commutative-algebra
algebraic-number-theory
field-theory
p-adic-number-theory
A sufficient condition for a domain to be Dedekind?
commutative-algebra
algebraic-number-theory
abstract-algebra
The rank of Jacobian matrix at a point of affine variety is independent of choice of generators
algebraic-geometry
commutative-algebra
Trying to understand the definition of Hilbert functions
commutative-algebra
proof-explanation
hilbert-polynomial
Any element of $\mathbf{Z}[\xi]$ is congruent to an integer modulo $(1-\xi)^2$ if multiplied by a suitable power of $\xi$
abstract-algebra
commutative-algebra
algebraic-number-theory
primitive-roots
Is every prime element of a commutative ring "veryprime"?
abstract-algebra
ring-theory
commutative-algebra
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