User Pace Nielsen

12 votes

Cauchy reals and Dedekind reals satisfy "the same mathematical theorems"

answered Jul 16, 2019 at 0:37

12 votes

Why were matrix determinants once such a big deal?

answered Aug 18, 2010 at 22:33

12 votes

Products of cyclotomic polynomials

answered Jan 5, 2015 at 3:25

12 votes

Accepted

Consecutive numbers with mutually distinct exponents in their canonical prime factorization

answered Mar 30, 2015 at 18:00

11 votes

Accepted

Are there infinitely many primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity?

answered Nov 16, 2014 at 4:44

11 votes

What is the standard 2-generating set of the symmetric group good for?

answered Oct 1, 2021 at 19:49

11 votes

Accepted

Does every cancellative duo semigroup embed into a group?

answered Oct 10 at 3:55

10 votes

Accepted

Is every finitely-presentable group a finite colimit of copies of $F_2$?

answered May 27, 2020 at 20:51

10 votes

A paper seems to have completely disappeared from editor's hands

answered May 12, 2019 at 17:31

10 votes

Are there non-scalar endomorphisms of the functor $V\mapsto V^{**}/V$?

answered Jan 6, 2017 at 20:29

10 votes

Accepted

If a quotient ring is a projective module then the ideal is principal

answered Dec 1, 2016 at 14:04

10 votes

An example of a commutative ring with infinitely many maximal ideals

answered Oct 18, 2016 at 21:28

10 votes

Is this Ramsey-type problem an open problem?

answered Oct 18, 2011 at 15:51

10 votes

How do we recognize an integer inside the rationals?

answered Nov 23, 2010 at 16:50

10 votes

How does an academic mathematician educate him/herself about job opportunities outside academia?

answered May 6, 2010 at 17:30

10 votes

Why are proofs so valuable, although we do not know that our axiom system is consistent?

answered Jun 22, 2010 at 18:12

10 votes

What are the most attractive Turing undecidable problems in mathematics?

answered Jan 12, 2010 at 16:58

10 votes

What properties "should" spectrum of noncommutative ring have?

answered Jan 28, 2015 at 5:04

9 votes

Accepted

On a GCD approach to odd perfect numbers

answered Jan 3 at 16:53

8 votes

Unnecessary uses of the axiom of choice

answered Feb 18, 2022 at 2:07

8 votes

Has incorrect notation ever led to a mistaken proof?

answered Nov 14, 2022 at 16:40

8 votes

Proving non-existence of solutions to $3^n-2^m=t$ without using congruences

answered Jun 30, 2010 at 18:06

8 votes

Accepted

What is a "best" transcendence basis for R/Q ?

answered Jun 13, 2011 at 21:26

8 votes

Mindset to understand category theory

answered Apr 4, 2021 at 16:01

8 votes

Accepted

Ruling out an extremely specific class of Wieferich-like primes

answered Oct 15, 2021 at 16:55

7 votes

Examples of common false beliefs in mathematics

answered Nov 5, 2020 at 16:11

7 votes

Accepted

Using Axiom of Replacement to construct the set of sets that are indexed by a set

answered Dec 19, 2020 at 12:47

7 votes

Accepted

An explicit negative solution to the Lüroth problem for non-algebraically closed fields

answered Jul 3, 2020 at 18:42

7 votes

Is there a database for tracking the dependencies of mathematical theorems?

answered Sep 8, 2016 at 21:42

7 votes

Polynomial roots in the ring extension

answered Apr 30, 2016 at 16:10

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190 Answers

Cauchy reals and Dedekind reals satisfy "the same mathematical theorems"

Why were matrix determinants once such a big deal?

Products of cyclotomic polynomials

Consecutive numbers with mutually distinct exponents in their canonical prime factorization

Are there infinitely many primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity?

What is the standard 2-generating set of the symmetric group good for?

Does every cancellative duo semigroup embed into a group?

Is every finitely-presentable group a finite colimit of copies of $F_2$?

A paper seems to have completely disappeared from editor's hands

Are there non-scalar endomorphisms of the functor $V\mapsto V^{**}/V$?

If a quotient ring is a projective module then the ideal is principal

An example of a commutative ring with infinitely many maximal ideals

Is this Ramsey-type problem an open problem?

How do we recognize an integer inside the rationals?

How does an academic mathematician educate him/herself about job opportunities outside academia?

Why are proofs so valuable, although we do not know that our axiom system is consistent?

What are the most attractive Turing undecidable problems in mathematics?

What properties "should" spectrum of noncommutative ring have?

On a GCD approach to odd perfect numbers

Unnecessary uses of the axiom of choice

Has incorrect notation ever led to a mistaken proof?

Proving non-existence of solutions to $3^n-2^m=t$ without using congruences

What is a "best" transcendence basis for R/Q ?

Mindset to understand category theory

Ruling out an extremely specific class of Wieferich-like primes

Examples of common false beliefs in mathematics

Using Axiom of Replacement to construct the set of sets that are indexed by a set

An explicit negative solution to the Lüroth problem for non-algebraically closed fields

Is there a database for tracking the dependencies of mathematical theorems?

Polynomial roots in the ring extension