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New posts in commutative-algebra
Localization - the equivalence ratio and subrings.
commutative-algebra
localization
Unramified primes of splitting field
abstract-algebra
polynomials
commutative-algebra
field-theory
algebraic-number-theory
$k[x]/(x^n)$ module with finite free resolution is free
commutative-algebra
modules
Is an ideal finitely generated if its radical is finitely generated?
abstract-algebra
commutative-algebra
ideals
examples-counterexamples
Is the image of a tensor product equal to the tensor product of the images?
abstract-algebra
commutative-algebra
homological-algebra
tensor-products
Is it really necessary to work with the fraction field here?
polynomials
ring-theory
commutative-algebra
ideals
integral-domain
Do the zero divisors form an ideal?
commutative-algebra
If $A[[x]]$ is Noetherian, will $A$ be Noetherian?
abstract-algebra
commutative-algebra
ring-theory
Help understand canonical isomorphism in localization (tensor products)
commutative-algebra
tensor-products
localization
A formula for the radical of $\mathbb{Z}/n\mathbb{Z}$.
abstract-algebra
ring-theory
commutative-algebra
Origin of the modern definition of the tensor product
linear-algebra
abstract-algebra
commutative-algebra
math-history
tensor-products
Generators of the ideal correspond to $d$-uple embedding
algebraic-geometry
commutative-algebra
Question about proof of $A[X] \otimes_A A[Y] \cong A[X, Y] $
commutative-algebra
tensor-products
Every module over a field is free. Is every commutative ring whose modules are all free a field?
commutative-algebra
Prove that $\mathbb{C}[x,y] \ncong \mathbb{C}[x]\oplus\mathbb{C}[y]$
abstract-algebra
commutative-algebra
ring-theory
Coordinate rings in projective spaces. What are they?
algebraic-geometry
commutative-algebra
projective-space
The fibers of a finite morphism of affine varieties are all finite
algebraic-geometry
commutative-algebra
Basic exercise on localization of modules
abstract-algebra
commutative-algebra
modules
Injectivity of $I\leadsto V_I(-)$ and relation to Hilbert's Nullstellensatz
abstract-algebra
algebraic-geometry
commutative-algebra
Commutative rings without assuming identity
abstract-algebra
ring-theory
commutative-algebra
rngs
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