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New posts in 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
Noetherian ring whose ideals have arbitrarily large number of generators
commutative-algebra
ring-theory
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
Prime ideals of $k[t^2,t^3]$
algebraic-geometry
ideals
maximal-and-prime-ideals
Exhibit the ideals of $\mathbb{Z}[x]/(2,x^3+1)$
abstract-algebra
ring-theory
ideals
polynomial-rings
Extension and contraction of ideals in polynomial rings
commutative-algebra
ideals
Prove that $(23, \alpha -10, \alpha -3) = \mathbb{Z}[\alpha]$
number-theory
algebraic-number-theory
ideals
A quotient $\mathcal{O}/\mathfrak{a}$ of a Dedekind domain is principal (Neukirch exer 1.3.5)
commutative-algebra
algebraic-number-theory
ideals
dedekind-domain
If ideal quotients of a ring are isomorphic, are these ideals isomorphic?
abstract-algebra
ideals
How to tell two ideals belong to the same ideal class group
algebraic-number-theory
ideals
Is an ideal finitely generated if its radical is finitely generated?
abstract-algebra
commutative-algebra
ideals
examples-counterexamples
Is it really necessary to work with the fraction field here?
polynomials
ring-theory
commutative-algebra
ideals
integral-domain
How to I prove this fact about two sided ideals?
abstract-algebra
ideals
Multi-pullbacks and the relative chinese remainder theorem
ring-theory
category-theory
ideals
chinese-remainder-theorem
What is the minimal number of generators of the ideal $(6x, 10x^2, 15x^3)$ in $\Bbb Z[x]$?
abstract-algebra
ring-theory
ideals
Maximal ideals in $R[x]$
abstract-algebra
ideals
Proof for maximal ideals in $\mathbb{Z}[x]$ [duplicate]
abstract-algebra
ring-theory
ideals
factoring
principal-ideal-domains
In a reduced ring the set of zero divisors equals the union of minimal prime ideals.
commutative-algebra
ideals
Rings in which every ideal contains a minimal ideal
algebraic-geometry
ring-theory
commutative-algebra
ideals
artinian
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