User Zev Chonoles

50 votes

7 answers

14k views

Good lattice theory books?

asked Feb 6, 2010 at 1:29

49 votes

28 answers

8k views

Problems where we can't make a canonical choice, solved by looking at all choices at once

asked Dec 21, 2010 at 4:04

39 votes

4 answers

7k views

Which number fields are monogenic? and related questions

asked Apr 13, 2010 at 22:01

32 votes

7 answers

6k views

Consequences of not requiring ring homomorphisms to be unital?

asked Aug 3, 2010 at 4:12

29 votes

4 answers

7k views

Intuitive explanation of Burnside's Lemma

asked Dec 21, 2010 at 5:42

27 votes

5 answers

3k views

MaxSpec, Spec, ... "RadSpec"? Or, why not look at all radical ideals?

asked Feb 5, 2010 at 21:04

24 votes

1 answer

2k views

Can Eisenstein's lattice point proof of quadratic reciprocity be generalized?

asked Feb 9, 2011 at 6:50

20 votes

3 answers

905 views

Extending arithmetic functions to groups

asked Feb 9, 2011 at 9:05

19 votes

7 answers

2k views

Generalizations of "standard" calculus

asked Dec 23, 2009 at 5:11

19 votes

2 answers

797 views

Allowing $G$-CW complexes to have more general cells

asked Dec 24, 2017 at 2:48

18 votes

1 answer

1k views

Kuratowski closure-complement problem for other mathematical objects?

asked Feb 25, 2010 at 4:23

17 votes

2 answers

2k views

How badly can Krull's Hauptidealsatz fail for non-Noetherian rings?

asked Oct 17, 2010 at 15:15

17 votes

4 answers

3k views

measure spaces as presheaves?

asked Nov 30, 2009 at 6:47

14 votes

3 answers

862 views

How can we realize different combinatorial objects as the dimension of a construction on vector spaces? Are the resulting algebras useful?

asked Apr 27, 2010 at 17:33

13 votes

2 answers

2k views

Are the field norm and trace the unique "nice" maps between fields?

asked Dec 3, 2009 at 0:48

12 votes

2 answers

1k views

Where are we working when we prove metamathematical theorems?

asked Jan 13, 2010 at 21:49

12 votes

2 answers

1k views

Factoring a field extension into one which adds no roots of unity, followed by one which adds only roots of unity

asked Dec 19, 2010 at 22:40

11 votes

2 answers

467 views

Localizing at the primitive polynomials?

asked Jan 5, 2010 at 1:06

10 votes

3 answers

4k views

If K/k is a finite normal extension of fields, is there always an intermediate field F such that F/k is purely inseparable and K/F is separable?

asked Feb 21, 2010 at 20:39

9 votes

2 answers

4k views

What is the automorphism group of the additive group of the p-adic integers?

asked Jul 5, 2010 at 0:12

9 votes

2 answers

442 views

Converse to basic result on prime decomposition

asked Aug 2, 2010 at 0:23

8 votes

2 answers

2k views

Can we relate Cech cohomology and derived functor cohomology even when the cover we choose isn't nice?

asked Apr 7, 2011 at 5:39

8 votes

3 answers

2k views

When does the group of invertible ideal quotients = the free abelian group on the prime ideals?

asked Jan 18, 2010 at 23:56

8 votes

1 answer

457 views

Can minimal surfaces be characterized by some universal property?

asked Jan 27, 2010 at 23:45

7 votes

5 answers

1k views

Which R-algebras are the group ring of some group over a ring R?

asked Jan 30, 2010 at 20:12

7 votes

2 answers

578 views

The natural inclusion of an infinite abelian group $G$ into $\widehat{\widehat{G}}$

asked Mar 1, 2011 at 1:24

7 votes

3 answers

473 views

Slightly weakened / altered concepts of a field

asked Mar 2, 2010 at 6:03

6 votes

1 answer

219 views

Example of a $G$-sphere that is not a $G$-representation sphere

asked May 27, 2015 at 6:18

6 votes

1 answer

2k views

Gamma function versions of combinatorial identites?

asked Jan 17, 2010 at 7:10

6 votes

11 answers

2k views

Various concepts of "closure" or "completion" in mathematics

asked Feb 7, 2010 at 16:56

Stack Exchange Network

38 Questions

Good lattice theory books?

Problems where we can't make a canonical choice, solved by looking at all choices at once

Which number fields are monogenic? and related questions

Consequences of not requiring ring homomorphisms to be unital?

Intuitive explanation of Burnside's Lemma

MaxSpec, Spec, ... "RadSpec"? Or, why not look at all radical ideals?

Can Eisenstein's lattice point proof of quadratic reciprocity be generalized?

Extending arithmetic functions to groups

Generalizations of "standard" calculus

Allowing $G$-CW complexes to have more general cells

Kuratowski closure-complement problem for other mathematical objects?

How badly can Krull's Hauptidealsatz fail for non-Noetherian rings?

measure spaces as presheaves?

How can we realize different combinatorial objects as the dimension of a construction on vector spaces? Are the resulting algebras useful?

Are the field norm and trace the unique "nice" maps between fields?

Where are we working when we prove metamathematical theorems?

Factoring a field extension into one which adds no roots of unity, followed by one which adds only roots of unity

Localizing at the primitive polynomials?

If K/k is a finite normal extension of fields, is there always an intermediate field F such that F/k is purely inseparable and K/F is separable?

What is the automorphism group of the additive group of the p-adic integers?

Converse to basic result on prime decomposition

Can we relate Cech cohomology and derived functor cohomology even when the cover we choose isn't nice?

When does the group of invertible ideal quotients = the free abelian group on the prime ideals?

Can minimal surfaces be characterized by some universal property?

Which R-algebras are the group ring of some group over a ring R?

The natural inclusion of an infinite abelian group $G$ into $\widehat{\widehat{G}}$

Slightly weakened / altered concepts of a field

Example of a $G$-sphere that is not a $G$-representation sphere

Gamma function versions of combinatorial identites?

Various concepts of "closure" or "completion" in mathematics