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curious
  • Member for 13 years, 9 months
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45 votes

What is the Tor functor?

18 votes

Can $n!$ be a perfect square when $n$ is an integer greater than $1$?

18 votes

Intuitive explanations for the concepts of divisor and genus

16 votes

A zero sum subset of a sum-full set

9 votes

If $x^5 = x$ in a ring, is the ring commutative?

9 votes

Regular local ring and a prime ideal generated by a regular sequence up to radical

6 votes

Computing intersection multiplicity using Tor - explicit example

6 votes

Prove for any positive real numbers $a,b,c$ $\frac{a^3}{a^2+ab+b^2}+\frac{b^3}{b^2+bc+c^2}+\frac{c^3}{c^2+ca+a^2} \geq \frac{a+b+c}{3}$

6 votes
Accepted

Associated ideals of a principal ideal generated by a nonzero divisor

6 votes

Projective module over $R[X]$

5 votes
Accepted

One dimensional quotients of formal power series rings

4 votes
Accepted

System of parameters which have linear independent images in the cotangent space

4 votes

Why does a minimal prime ideal consist of zerodivisors?

4 votes

Local complete intersections and the cotangent module

3 votes
Accepted

Analogue of Cartan theorem A in algebraic geometry

3 votes

Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$

3 votes

What is the connection between the definition of complete intersection variety and complete intersection ring?

3 votes
Accepted

Divisors of rational functions on curves at singular points

2 votes
Accepted

Local rings and flatness

2 votes
Accepted

Fundamental theorem of algebra using Lie Theory

2 votes
Accepted

Find two submodules $E_1$ and $E_2$ such that $\textrm{Ass}(E_1) \cup \textrm{Ass}(E_2) \subsetneq \textrm{Ass}(E_1 + E_2)$

2 votes

what is the definition of a line in $\mathbb{P}^n(k)$ + how to compute the hilbert polynomial of two intersecting lines?

1 vote

Auslander-Buchsbaum and Ferrand-Vasconcelos

1 vote
Accepted

Proper 2-generator ideal is not the intersection of 2 proper coprime ideals

1 vote
Accepted

Genus of curves embedded into some projective space

0 votes

In what generality is the natural map $\textrm{Hom}_R(L,M)\otimes S \to \operatorname{Hom}_{R \otimes S}(L\otimes S, M \otimes S) $ an isomorphism?

0 votes

Artinian Ring Question