New posts in Maximal And Prime Ideals

Maximal Ideals in Ring of Continuous Functions

Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$

prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero

Localizations of an Artinian ring are isomorphic to quotients.

$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?

Atiyah-Macdonald problem 3.8

Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.

Express the ideal $(6) \subset\mathbb Z\left[\sqrt {-5}\right]$ as a product of prime ideals.

Prime ideals in a finite direct product of rings

Flat algebra over a Dedekind domain