New posts in commutative-algebra

What to study from Eisenbud's Commutative Algebra to prepare for Hartshorne's Algebraic Geometry?

Global sections of the projective space

Prime ideals in an arbitrary direct product of rings

An $R$ module and $S$ module that cannot be an $R$-$S$ bimodule

Every ideal of $K[x_1,\ldots,x_n]$ has $\leq n$ generators?

Tensoring is thought as both restricting and extending?

A question about commutative algebra II - Huneke notes

How to tell if an element of a quotient ring is a zero divisor

Aluffi's proof that $\det(AB)=\det(A)\det(B)$ for commutative rings

Do there exist polynomials $f,g$ such that $\mathbb{C}[a,b,c]\le\mathbb{C}[f,g]$ for $a,b,c$ given polynomials?

Is every commutative ring a limit of noetherian rings?

Kernel of map between polynomial rings that takes monomials to monomials

Show that $\mathbb{C}[x,y]/(x^2+y^2-1)$ is a UFD. [duplicate]

Maximal ideal space of $c_{\mathcal{U}}$

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

What does it mean that "the action of $\mathbb{Z}$ on $M$ factors through the quotient $\mathbb{Z}/p^n \mathbb{Z}$"?

When does $f,g \in R[x]$ relatively prime imply $f,g \in R[[x]]$ relatively prime.

Looking for elementary proof that irreducible/smooth curve in $\mathbb C^2$ is connected in Euclidean topology of $\mathbb C^2$

faithfully flat ring extensions where primes extend to primes

Zero Divisors and Associated Primes of the zero ideal in a Noetherian ring