New posts in commutative-algebra

Showing an ideal is prime in polynomial ring

Commutativity of a ring from idempotents. [closed]

Modules which are isomorphic to their tensor product.

Does $R$ a domain imply $\operatorname{gr}(R)$ is a domain?

Nilradical of absolutely flat ring

A question related to Krull-Akizuki theorem

Why is a variety over a non-alg. closed field a hypersurface?

Having trouble with just one line in a proof on why nonzero prime ideals are maximal in a Dedekind domain

An example of prime ideal $P$ such that $\bigcap_{n=1}^{\infty}P^n$ is not prime

Understanding the conductor ideal of a ring.

Noetherian ring whose ideals have arbitrarily large number of generators

If a polynomial ring is a free module over some subring, is that subring itself a polynomial ring?

Why is tensoring a functor? On objects, it is only defined up to isomorphism... also fiber products...

Which isomorphism of coordinate rings corresponds to isomorphisms of affine varieties?

Question about whether axiom of choice is needed in this proof

rational functions on projective n space

Algebras that are free modules over a subalgebra

Gorenstein dimension vs projective dimension

Fiber of a map between spectra

On prime ideals in a polynomial ring over a PID (from Reid's _Commutative Algebra_)