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New posts in ideals
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
commutative-algebra
ideals
Bijection between sets of ideals
abstract-algebra
ring-theory
ideals
When do (multivariate) polynomial rings fail to be Prüfer rings?
proof-verification
commutative-algebra
ideals
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
abstract-algebra
ideals
maximal-and-prime-ideals
Neat way to find the kernel of a ring homomorphism
abstract-algebra
ring-theory
commutative-algebra
ideals
Ideals of the algebra of all bounded linear operators on $\ell_p \oplus \ell_q$
functional-analysis
banach-spaces
ideals
lp-spaces
All polynomial parametric curves in $k^2$ are contained in affine algebraic varieties
algebraic-geometry
ideals
algebraic-curves
parametric
affine-geometry
Prove the Ring Homomorphism is Surjective
ring-theory
ideals
Preimage of a maximal ideal.
abstract-algebra
ideals
Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
ring-theory
commutative-algebra
ideals
chinese-remainder-theorem
In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?
abstract-algebra
ring-theory
commutative-algebra
ideals
Prove the Radical of an Ideal is an Ideal
abstract-algebra
ring-theory
ideals
Prime ideals of a finite direct product ring
abstract-algebra
ring-theory
ideals
noncommutative-algebra
Factoring the ideal $(8)$ into a product of prime ideals in $\mathbb{Q}(\sqrt{-7})$
abstract-algebra
algebraic-number-theory
ideals
factoring
Ideals in the ring of endomorphisms of a vector space of uncountably infinite dimension.
linear-algebra
ring-theory
cardinals
ideals
Primary decomposition of $(XY,(X-Y)Z)$ in $k[X,Y,Z]$
commutative-algebra
ideals
Why these are isomorphic each other for given these rings?
abstract-algebra
ring-theory
ideals
Understanding the Inertia Group in Ramification Theory
number-theory
algebraic-number-theory
ideals
ramification
If $A + B = R$ and $A+C=R$ then $A+BC=R$ and $A \cap BC = ABC$
abstract-algebra
ring-theory
ideals
Algebraic number theory, Marcus, Chapter 3, Question 9
algebraic-number-theory
ideals
prime-factorization
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