New posts in Commutative Algebra

Ideal of height $>1$ containing no non-zero prime ideals.

"Drawing a Picture" of $\operatorname{Spec}(\mathbb{Z})$

Every ring homomorphism to the integers is surjective?

The direct limit of $A_{f}$ for $f \notin P$ is $A_{P}$

Milnor's exercise: for any manifold $M$, $\mathrm{Hom}(C^\infty(M,\mathbb{R}),\mathbb{R})\cong M$

Generic question about commutative algebra

Prove that $x \in {\rm Jac}(R)$ if and only if $1-xy \in R^{\times}$ for all $y$.

Ring theory conventions - Zero ring, local homomorphisms

Atiyah-Macdonald: Exercise 1.8

In a commutative ring, GCD exists implies LCM exists?