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New posts in ideals
Show that an integral domain with finitely many ideals is a field [duplicate]
abstract-algebra
ideals
integral-domain
Can an ideal in a commutative integral domain be its own square?
commutative-algebra
ideals
Is there a distributive law for ideals?
abstract-algebra
ideals
An ideal that is radical but not prime.
abstract-algebra
ring-theory
commutative-algebra
ideals
examples-counterexamples
Are distinct prime ideals in a ring always coprime? If not, then when are they?
ring-theory
algebraic-number-theory
field-theory
ideals
Norm of element $\alpha$ equal to absolute norm of principal ideal $(\alpha)$
abstract-algebra
field-theory
algebraic-number-theory
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
When is a product of two ideals strictly included in their intersection?
abstract-algebra
commutative-algebra
ring-theory
ideals
Showing that the ideal $(x,y)$ in $k(x,y)$ is not locally free. [duplicate]
commutative-algebra
polynomials
modules
ideals
Prove: The pre-image of an ideal is an ideal.
abstract-algebra
ring-theory
ideals
Show that ideal is a subring
abstract-algebra
ideals
Is $\mathbb{Z}[\sqrt{15}]$ a UFD?
abstract-algebra
ring-theory
ideals
unique-factorization-domains
Rings with a given number of (prime, maximal) ideals
abstract-algebra
ring-theory
commutative-algebra
ideals
On a ring $R$ such that every subring of $R$ is an ideal .
abstract-algebra
ring-theory
ideals
Let $H=(1+i)\mathbb{Z}[i]$. Let $f:\mathbb{Z}\to \mathbb{Z}[i]/H : f(z)=[z]$. Prove $\ker f=2\mathbb{Z}$.
abstract-algebra
ring-theory
ideals
ring-homomorphism
Every ideal in $\mathbb{Z}[\sqrt d]$ is finitely generated by at most two elements of the form $a, b + c \sqrt d$
abstract-algebra
ring-theory
ideals
Maximal ideals of polynomial rings in infinitely many variables
abstract-algebra
commutative-algebra
ideals
Polynomial irreducible - maximal ideal
abstract-algebra
field-theory
proof-verification
ideals
irreducible-polynomials
Radical/Prime/Maximal ideals under quotient maps
abstract-algebra
commutative-algebra
ring-theory
ideals
How to check whether an ideal is a prime (or maximal) ideal?
number-theory
commutative-algebra
algebraic-number-theory
computational-mathematics
ideals
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