BootMath
Search
BootMath
abstract algebra
algebraic geometry
commutative algebra
ideals
ring theory
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
Intereting Posts
How do you simplify a log with an exponent in the base?
Integration of sqrt Sin x dx
Evaluate integral $\int_0^\frac{\pi}{2} \ln\left(\frac{1+a\cos x}{1-a\cos x}\right) \frac{\mathrm{d} x}{\cos x}$ for $\left|a\right|<1$
Maximizing and minimizing dot products
How do ideal quotients behave with respect to localization?
Prove $Y_0$ is $\mathscr{L}$-measurable.
Why is $\frac{987654321}{123456789} = 8.0000000729?!$
show that $\int_{0}^{\infty } \frac {\cos (ax) -\cos (bx)} {x^2}dx=\pi \frac {b-a} {2}$
Review of my T-shirt design
How to prove $ \sum_{k=0}^n \frac{(-1)^{n+k}{n+k\choose n-k}}{2k+1}=\frac{-2\cos\left(\frac{2(n-1)\pi}{3}\right)}{2n+1}$
How to distribute $k$ distinct items into $r$ distinct groups with each groups receiving $a (=k-n)$ prizes at most?
Do there exist an infinite number of 'rational' points in the equilateral triangle $ABC$?
Proof by induction of Bernoulli's inequality: $(1 + x)^n \geq 1 + nx$
Statistics-Uniform random variable
How to compute this integral involving a cdf?
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
This question already has an answer here:
An ideal that is maximal among non-finitely generated
ideals
is prime.
3 answers
Solutions Collecting From Web of "if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian"
Fundamental theorem of Algebra using fundamental groups.
How to find the Galois group of a polynomial?
Order of elements in $Z_n$
Applications of Abstract Algebra to elementary mathematics
Two exercises on characters on Marcus (part 1)
Infinite Degree Algebraic Field Extensions
About product of $k$ commutators
Hartshorne Theorem 8.17
$T:V\rightarrow W$ such that $N(T)=V'\subset V$ and $R(T)=W'\subset W$
How to show there are no simple groups of order 760 using Sylow's theorem
Book:
Steps in Commutative Algebra
(by
Sharp
)
Is there such a thing as a countable set with an uncountable subset?
Why does cross product give a vector which is perpendicular to a plane
Show that $e^{\sqrt 2}$ is irrational
In a group we have $abc=cba$. Is it abelian?
Find a continuous function $f:[1,\infty)\to\Bbb R $ such that $f(x) >0 $, $\int_1^\infty f(x)\,dx $ converges and $\int_1^\infty f(x)^2\,dx$ diverges
Continuous functions are differentiable on a measurable set?
Isometry group of a norm is always contained in some Isometry group of an inner product?
What is the integral of $\int e^x\,\sin x\,\,dx$?
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
Is this relation reflexive?
Prove that $\int_0^1\frac{\ln(1-x)\ln^2x}{x-1}dx=\frac{\pi^4}{180}$
What actually is a polynomial?
Infinite coproduct of rings
Branch cut and $\log(z)$ derivative
Intuition behind conjugation in group theory