New posts in maximal-and-prime-ideals

Prime elements in a noncommutative ring

ring-theory prime-numbers noncommutative-algebra maximal-and-prime-ideals

Image of Jacobson Radical is the Jacobson Radical

abstract-algebra commutative-algebra maximal-and-prime-ideals

Prime ideals of a localization

abstract-algebra maximal-and-prime-ideals localization

Every non zero commutative ring with identity has a minimal prime.

commutative-algebra maximal-and-prime-ideals

Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage

algebraic-geometry proof-verification schemes maximal-and-prime-ideals localization

Proving $\pi$ is irreducible/prime in $R.$

abstract-algebra ring-theory ideals maximal-and-prime-ideals algebraic-groups

A counterexample to the going down theorem

commutative-algebra maximal-and-prime-ideals

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

ring-theory commutative-algebra ideals finitely-generated maximal-and-prime-ideals

Maximal Ideals in Ring of Continuous Functions

abstract-algebra ring-theory continuity maximal-and-prime-ideals

Can a non-local ring have only two prime ideals?

abstract-algebra algebraic-geometry ring-theory commutative-algebra maximal-and-prime-ideals

How to factor in cubic extensions?

abstract-algebra number-theory algebraic-number-theory maximal-and-prime-ideals cubic-reciprocity

$M$ maximal iff $\bar{M}$ is maximal

ring-theory ideals maximal-and-prime-ideals

$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?

abstract-algebra maximal-and-prime-ideals

Is $(XY - 1)$ a maximal ideal in $k[[X]][Y]$?

abstract-algebra commutative-algebra ideals maximal-and-prime-ideals

Number of prime ideals of a ring

abstract-algebra ring-theory commutative-algebra ideals maximal-and-prime-ideals

$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$

abstract-algebra proof-writing ideals maximal-and-prime-ideals integral-domain

The support of a module is closed?

commutative-algebra modules maximal-and-prime-ideals

Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.

abstract-algebra polynomials ring-theory maximal-and-prime-ideals

Prime ideals of the matrix ring

ring-theory ideals maximal-and-prime-ideals

Prove $R/M$ is a division ring for a non-commutative ring $R$ with max ideal $M$

abstract-algebra ring-theory noncommutative-algebra maximal-and-prime-ideals