New posts in maximal-and-prime-ideals

Showing that $A/J \cong \mathbb C.$

ideals operator-algebras c-star-algebras quotient-spaces maximal-and-prime-ideals

In ZF, does the ring of continuous functions $C([0,1], \mathbb{R})$ have prime ideals which is not maximal?

general-topology functional-analysis set-theory axiom-of-choice maximal-and-prime-ideals

Are $(X+1,X), (X^2+4,5)$ and $(X^2+1,X+2)$ maximal or prime?

commutative-algebra ideals maximal-and-prime-ideals

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

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

Maximal ideals of $C\big((0,1)\big)$

ring-theory ideals maximal-and-prime-ideals

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

ring-theory commutative-algebra ideals proof-explanation maximal-and-prime-ideals

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

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

Showing $k[X] \cong k[X,Y,Z]\big/{(Y-X^2,Z-X^3)}$

abstract-algebra ring-theory ideals maximal-and-prime-ideals polynomial-rings

Under what conditions will the ring homomorphism $\phi : R \to S$ satisfy the following results about prime and maximal ideals?

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

Prime ideals of $k[t^2,t^3]$

algebraic-geometry ideals maximal-and-prime-ideals

Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$

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

Show that $(p,\sqrt{d})$ is a prime ideal in $Z[\sqrt{d}]$

ring-theory algebraic-number-theory maximal-and-prime-ideals

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

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

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

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

Closed points are dense in $\operatorname{Spec} A$

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

How do the prime ideals of $\mathbb{Z}_{k}$ look like?

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

Proving a prime ideal is maximal in a PID

abstract-algebra ring-theory maximal-and-prime-ideals principal-ideal-domains

Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?

abstract-algebra ideals maximal-and-prime-ideals

Does "zero dimensional domains are fields" require the Boolean Prime Ideal theorem?

abstract-algebra ring-theory axiom-of-choice maximal-and-prime-ideals

Definition of homomorphism of local rings

commutative-algebra maximal-and-prime-ideals localization local-rings