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wxu
  • Member for 11 years, 8 months
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48 votes
Accepted

Slick proof the determinant is an irreducible polynomial

31 votes

Intersection maximal ideals of a polynomial ring

21 votes

Must $k$-subalgebra of $k[x]$ be finitely generated?

12 votes
Accepted

An example of a commutative ring in which every primary ideal is prime

10 votes

Embedding of free $R$-algebras

9 votes
Accepted

A counterexample to the going down theorem

8 votes
Accepted

Show $\mathbb{Q}[x,y]/\langle x,y \rangle$ is Not Projective as a $\mathbb{Q}[x,y]$-Module.

8 votes

How does extending a field affect matrix similitude?

7 votes

How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$

7 votes
Accepted

A Fraction field problem

7 votes

If the localization of a ring $R$ at every prime ideal is an integral domain, must $R$ be an integral domain?

6 votes

Infinite product of fields

5 votes

If $M$ is an Artinian $R$-module then $R/\mbox{ann}(M)$ is an Artinian ring?

5 votes
Accepted

The difference between $k$-closed variety and variety defined over $k$

5 votes

Failure of isomorphisms on stalks to arise from an isomorphism of sheaves

5 votes
Accepted

Why is any irreducible ideal prime in a Boolean ring?

5 votes
Accepted

If $\alpha= (1+\sqrt{-19})/2$ then any ring homomorphism $f : \mathbb{Z}[\alpha] \rightarrow \mathbb{Z}_3$ is the zero map

5 votes

How does one prove that the ring of integer-valued polynomials $\text{Int}(\mathbb{Z})$ is not Noetherian?

4 votes
Accepted

Coheight of an ideal generated by $n$ elements

4 votes

A formula for the minimum number of generators of a module over a semilocal ring

4 votes
Accepted

Are the $\mathbb{Z}/p^k\mathbb{Z}$ simple modules all isomorphic to one another?

3 votes
Accepted

A homomorphism between finite free modules over a local ring

3 votes
Accepted

(Minimal?) Polynomials using the Nullstellensatz

3 votes
Accepted

Is $x^n+px+p^2$ irreducible in $\mathbb{Z}[x]$?

3 votes
Accepted

System of generators of a homogenous ideal

3 votes
Accepted

Zero-divisors and R-sequences

3 votes
Accepted

Noetherian ring and the same prime divisors

3 votes
Accepted

$Spec(R)$ Noetherian and going up theorem

3 votes
Accepted

Atiyah-Macdonald Ex7.22: Equivalent condition for $E$ to be open in a Notherian space

3 votes
Accepted

Lefschetz Principle: explicit embeddings into $\mathbb C$.