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New posts in commutative-algebra
Does there exist a projective module over $k[x_1,...,x_n]$ which is not free?
commutative-algebra
modules
projective-module
When is the tensor product of rings of integers again a ring of integers?
commutative-algebra
algebraic-number-theory
tensor-products
dedekind-domain
integer-rings
Injective Modules Motivation & Intuition
ring-theory
commutative-algebra
modules
injective-module
When some polynomials in $\mathbb Z[X]$ determine a regular sequence in $\mathbb Z[X_1,\dots,X_n]$?
commutative-algebra
In a reduced ring the set of zero divisors equals the union of minimal prime ideals.
commutative-algebra
ideals
Contents of Tor modules
algebraic-geometry
commutative-algebra
homological-algebra
Why is the (-1)-th coefficient of $f^n f'$ equal to 0, without dividing by $n+1$?
commutative-algebra
polynomials
residue-calculus
abstract-algebra
Help needed in understanding this proof of localization
abstract-algebra
commutative-algebra
Intuition for when modules are flat
algebraic-geometry
commutative-algebra
Proof that a domain is normal (2)
abstract-algebra
commutative-algebra
Does the following property of the direct limit of a direct system follow from the axioms for a direct limit?
commutative-algebra
category-theory
Associate prime ideals and exact sequences of $R$-modules
commutative-algebra
modules
Maximal ideals in polynomial rings over a field
reference-request
algebraic-geometry
commutative-algebra
galois-theory
Rings in which every ideal contains a minimal ideal
algebraic-geometry
ring-theory
commutative-algebra
ideals
artinian
Example that inverse limit is not exact
ring-theory
commutative-algebra
homological-algebra
Ideal correspondence
commutative-algebra
Length of maximal chain of prime ideals equals transcendence degree of fraction field?
commutative-algebra
ideals
Koszul complex of locally free sheaves
algebraic-geometry
commutative-algebra
Intersection of powers of maximal ideals
algebraic-geometry
commutative-algebra
When is a field a nontrivial field of fractions?
abstract-algebra
commutative-algebra
ring-theory
field-theory
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