New posts in ideals

Questions about a commutative ring with exactly three ideals [closed]

abstract-algebra commutative-algebra ring-theory ideals

Why any field is a principal ideal domain?

abstract-algebra ring-theory field-theory ideals principal-ideal-domains

Infinite product of fields

commutative-algebra ideals

A commutative ring whose all proper ideals are prime is a field. [closed]

abstract-algebra commutative-algebra ring-theory ideals

Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.

abstract-algebra ring-theory field-theory self-learning 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

Showing an ideal is a projective module via a split exact sequence

commutative-algebra algebraic-number-theory homological-algebra ideals projective-module

Multiplicative inverse of $2x + 3 + I$ in $\mathbb{Z}_5[x]/I $?

abstract-algebra ring-theory ideals

Is it true that an ideal is primary iff its radical is prime?

commutative-algebra ring-theory ideals

Ideals in $C[0,1]$ which are not finitely generated (From Atiyah- Macdonald )

ring-theory commutative-algebra ideals noetherian

Is there a nice way to classify the ideals of the ring of lower triangular matrices?

linear-algebra matrices ideals

Prime ideal in a polynomial ring over an integrally closed domain [closed]

abstract-algebra commutative-algebra ideals integral-domain

Prime ideals of the matrix ring

ring-theory ideals maximal-and-prime-ideals

We Quotient an algebraic structure to generate equivalence classes?

abstract-algebra ideals equivalence-relations normal-subgroups

A noncommutative counterexample to the following property: If $I,J$ are comaximal ideals, then $IJ=I\cap J$.

abstract-algebra ideals

What's so special about a prime ideal?

ring-theory ideals maximal-and-prime-ideals

Is the axiom of choice necessary to prove that closed points in the Zariski topology are maximal ideals?

algebraic-geometry ideals axiom-of-choice affine-schemes zariski-topology

Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?

abstract-algebra ring-theory ideals