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New posts in commutative-algebra
What to study from Eisenbud's Commutative Algebra to prepare for Hartshorne's Algebraic Geometry?
algebraic-geometry
reference-request
commutative-algebra
Global sections of the projective space
algebraic-geometry
commutative-algebra
Prime ideals in an arbitrary direct product of rings
commutative-algebra
An $R$ module and $S$ module that cannot be an $R$-$S$ bimodule
commutative-algebra
ring-theory
modules
Every ideal of $K[x_1,\ldots,x_n]$ has $\leq n$ generators?
abstract-algebra
algebraic-geometry
commutative-algebra
Tensoring is thought as both restricting and extending?
algebraic-geometry
commutative-algebra
ring-theory
A question about commutative algebra II - Huneke notes
algebraic-geometry
commutative-algebra
proof-explanation
homological-algebra
How to tell if an element of a quotient ring is a zero divisor
abstract-algebra
algebraic-geometry
commutative-algebra
Aluffi's proof that $\det(AB)=\det(A)\det(B)$ for commutative rings
linear-algebra
abstract-algebra
ring-theory
commutative-algebra
Do there exist polynomials $f,g$ such that $\mathbb{C}[a,b,c]\le\mathbb{C}[f,g]$ for $a,b,c$ given polynomials?
abstract-algebra
commutative-algebra
polynomials
Is every commutative ring a limit of noetherian rings?
commutative-algebra
category-theory
noetherian
limits-colimits
Kernel of map between polynomial rings that takes monomials to monomials
commutative-algebra
Show that $\mathbb{C}[x,y]/(x^2+y^2-1)$ is a UFD. [duplicate]
abstract-algebra
ring-theory
commutative-algebra
unique-factorization-domains
Maximal ideal space of $c_{\mathcal{U}}$
functional-analysis
commutative-algebra
ring-theory
set-theory
operator-algebras
An example of prime ideal $P$ in an integral domain such that $\bigcap_{n=1}^{\infty}P^n$ is not prime
abstract-algebra
ring-theory
commutative-algebra
maximal-and-prime-ideals
dedekind-domain
What does it mean that "the action of $\mathbb{Z}$ on $M$ factors through the quotient $\mathbb{Z}/p^n \mathbb{Z}$"?
number-theory
commutative-algebra
modules
abelian-groups
group-actions
When does $f,g \in R[x]$ relatively prime imply $f,g \in R[[x]]$ relatively prime.
ring-theory
commutative-algebra
formal-power-series
Looking for elementary proof that irreducible/smooth curve in $\mathbb C^2$ is connected in Euclidean topology of $\mathbb C^2$
reference-request
commutative-algebra
algebraic-curves
riemann-surfaces
affine-geometry
faithfully flat ring extensions where primes extend to primes
abstract-algebra
commutative-algebra
Zero Divisors and Associated Primes of the zero ideal in a Noetherian ring
abstract-algebra
commutative-algebra
maximal-and-prime-ideals
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