Hagen

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96 Answers

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12
Does every Noetherian domain have finitely many height 1 prime ideals?
11
Integral domain with fraction field equal to $\mathbb{R}$
10
Can a prime in a Dedekind domain be contained in the union of the other prime ideals?
7
every field of characteristic 0 has a discrete valuation ring?
7
Dimension of $\mathbb Z[\sqrt 5]$
7
$G\otimes \mathbb Q=0$ implies torsion group
7
Do the positive rationals under multiplication contain a subgroup of finite index?
6
Transcendental extensions of $\mathbb{Q}$ containing algebraic elements.
6
Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields
6
What is really the meaning of “$x$” in a ring of polynomial?
6
Is it always valid to cancel something like (x-2) in the numerator and denominator of a rational function?
6
A torsion-free group $G$ is imbedded in a Vector space over $\mathbb Q$ of dimention $n$?
5
Does every algebraically closed field contain the field of complex numbers?
5
Arbitrary number of algebraically independent elements of prime field: when is that possible?
5
Scheme of dual numbers over a field
5
Maximal ideal of Dedekind domain
5
Local ring on generic fiber
5
Canonical divisor on algebraic curve
5
A non-noetherian ring with $\text{Spec}(R)$ noetherian
4
Isomorphism or non-isomorphism of two specific local rings
4
Counterexample for going up theorem
4
A question about Cohen-Kaplansky domains
4
What kinds of non-zero characteristic fields exist?
4
A question related to Krull-Akizuki theorem
4
Connected components of a fiber product of schemes
3
Valuation but not Noetherian Rings
3
An overring of a polynomial ring, noetherian or not?
3
Question about ideals of rings and rings of n*n matrices
3
Exercise on finite intermediate extensions
3
$k$th power of ideal of of germs
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