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New posts in commutative-algebra
Showing an ideal is prime in polynomial ring
abstract-algebra
algebraic-geometry
commutative-algebra
ideals
Commutativity of a ring from idempotents. [closed]
abstract-algebra
ring-theory
commutative-algebra
idempotents
Modules which are isomorphic to their tensor product.
abstract-algebra
commutative-algebra
modules
projective-module
Does $R$ a domain imply $\operatorname{gr}(R)$ is a domain?
ring-theory
commutative-algebra
graded-rings
Nilradical of absolutely flat ring
abstract-algebra
commutative-algebra
solution-verification
A question related to Krull-Akizuki theorem
commutative-algebra
Why is a variety over a non-alg. closed field a hypersurface?
commutative-algebra
field-theory
Having trouble with just one line in a proof on why nonzero prime ideals are maximal in a Dedekind domain
ring-theory
commutative-algebra
ideals
proof-explanation
maximal-and-prime-ideals
An example of prime ideal $P$ such that $\bigcap_{n=1}^{\infty}P^n$ is not prime
abstract-algebra
ring-theory
commutative-algebra
maximal-and-prime-ideals
Understanding the conductor ideal of a ring.
commutative-algebra
Noetherian ring whose ideals have arbitrarily large number of generators
commutative-algebra
ring-theory
ideals
If a polynomial ring is a free module over some subring, is that subring itself a polynomial ring?
abstract-algebra
polynomials
ring-theory
commutative-algebra
free-modules
Why is tensoring a functor? On objects, it is only defined up to isomorphism... also fiber products...
commutative-algebra
category-theory
tensor-products
Which isomorphism of coordinate rings corresponds to isomorphisms of affine varieties?
abstract-algebra
algebraic-geometry
reference-request
ring-theory
commutative-algebra
Question about whether axiom of choice is needed in this proof
commutative-algebra
set-theory
axiom-of-choice
rational functions on projective n space
algebraic-geometry
commutative-algebra
projective-space
Algebras that are free modules over a subalgebra
abstract-algebra
ring-theory
commutative-algebra
Gorenstein dimension vs projective dimension
abstract-algebra
commutative-algebra
Fiber of a map between spectra
abstract-algebra
algebraic-geometry
commutative-algebra
On prime ideals in a polynomial ring over a PID (from Reid's _Commutative Algebra_)
abstract-algebra
commutative-algebra
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