Newbetuts
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New posts in ideals
if $S$ is a ring (possibly without identity) with no proper left ideals, then either $S^2=0$ or $S$ is a division ring.
abstract-algebra
ideals
rngs
Show that $\mathbb{Z}[\sqrt{223}]$ has three ideal classes.
algebraic-number-theory
ideals
Why are powers of coprime ideals are coprime? [duplicate]
abstract-algebra
ideals
Is there a geometric meaning of a prime power not being primary?
algebraic-geometry
commutative-algebra
ideals
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
abstract-algebra
ring-theory
field-theory
ideals
prime-factorization
$I$-adic completion
commutative-algebra
ideals
noetherian
On proving every ideal of $\mathbb{Z}_n$ is principal
abstract-algebra
ideals
If every ascending chain of primary ideals in $R$ stabilizes, is $R$ a Noetherian ring?
abstract-algebra
commutative-algebra
ideals
(Unique) OR (unique + nontrivial) prime ideal
abstract-algebra
ring-theory
commutative-algebra
ideals
maximal-and-prime-ideals
Annihilator of quotient module M/IM
abstract-algebra
commutative-algebra
modules
ideals
If $A$ is a Principal Ideal Domain, and $\mathfrak{a}$ its ideal. prove that $\frac{A}{\mathfrak{a}}$ is also a Principal Ideal Domain.
ideals
principal-ideal-domains
How to turn elements of a ring $A$ into functions on $\text{Spec}A$?
ring-theory
commutative-algebra
definition
ideals
maximal-and-prime-ideals
Is each power of a prime ideal a primary ideal?
commutative-algebra
ideals
Problem on the number of generators of some ideals in $k[x,y,z]$ [closed]
abstract-algebra
commutative-algebra
ideals
Show that every ideal of the ring $\mathbb Z$ is principal
abstract-algebra
ring-theory
ideals
principal-ideal-domains
Every radical ideal in a Noetherian ring is a finite intersection of primes
abstract-algebra
commutative-algebra
ideals
Number of generators of the maximal ideals in polynomial rings over a field
commutative-algebra
ideals
Intersection of prime ideals
abstract-algebra
ring-theory
commutative-algebra
ideals
Primary ideals of Noetherian rings which are not irreducible
commutative-algebra
ideals
noetherian
How do algebraists intuitively picture normal subgroups and ideals?
abstract-algebra
group-theory
ring-theory
ideals
normal-subgroups
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