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13 votes

2 answers

2k views

When are quadratic rings of integers unique factorization domains?

asked Nov 28, 2018 at 3:34

12 votes

2 answers

2k views

Is every finite group a normal subgroup of a symmetric group?

asked Jun 27, 2016 at 22:56

9 votes

5 answers

1k views

List of theorems named after non-human animals [closed]

asked Jul 10, 2016 at 2:12

7 votes

1 answer

9k views

Proof of squeeze theorem for functions

asked Mar 16, 2015 at 23:07

7 votes

1 answer

290 views

Degree of $a+b$ over a field $k$, where $a$ and $b$ are distinct roots of the same polynomial

asked Dec 25, 2018 at 19:43

6 votes

2 answers

497 views

(Co)completeness of the category of abelian group objects in a (co)complete category

asked Dec 24, 2017 at 1:34

5 votes

1 answer

243 views

Categories generated by a single object

asked Jun 14, 2018 at 6:52

5 votes

1 answer

139 views

Almost symmetric polynomial?

asked Jun 15, 2015 at 1:42

5 votes

1 answer

559 views

When are homology groups the trivial group?

asked Apr 19, 2016 at 7:01

4 votes

1 answer

3k views

Let $(G,)$ be a group and $g$ be a fixed element of $G$. Prove that $G=\{gx \mid x \in G\}$

asked Jul 4, 2014 at 4:51

4 votes

2 answers

151 views

Does there exist a subgroup $G$ of $\mathbb{R}$ such that $\mathbb{R}/G \cong \mathbb{Z}$?

asked Dec 1, 2015 at 2:13

3 votes

1 answer

200 views

When does non-spanning imply linear independence in a free $R$-module

asked Dec 3, 2015 at 1:27

3 votes

1 answer

825 views

Definition of multiplicity of trivial representation

asked Mar 18, 2016 at 22:53

3 votes

1 answer

117 views

If $(A/\mathfrak{m})_{\pi(f)}$ is a field then $A/\mathfrak{m}$ is a field

asked Sep 7, 2016 at 4:15

3 votes

0 answers

88 views

Dualizable presheaves with respect to Day convolution

asked Oct 9, 2018 at 4:41

3 votes

2 answers

727 views

No nontrivial subspaces implies irreducibility of characteristic polynomial

asked Jan 16, 2019 at 20:32

3 votes

1 answer

579 views

Every line bundle on a complex algebraic curve has a meromorphic section

asked Feb 22, 2019 at 5:21

3 votes

1 answer

139 views

$G$-invariant linear functions on $V \otimes \mathfrak{g}$ are $N(T)$-invariant linear functions on $V \otimes \mathfrak{h}$

asked Sep 9, 2019 at 0:18

3 votes

0 answers

69 views

$Pro$ objects as presheaves

asked Nov 22, 2017 at 1:22

2 votes

0 answers

94 views

If $\dim(A/\mathfrak p)=\dim(A)-1$, then is $\mathfrak p$ principal?

asked Jan 15, 2019 at 1:29

2 votes

0 answers

91 views

Mistake in proof that $(V \otimes W)^* \cong V^* \otimes W^*$

asked Sep 13, 2017 at 3:18

2 votes

0 answers

83 views

Category of (co)commutative Hopf monoids

asked Nov 1, 2017 at 1:05

2 votes

2 answers

958 views

Meaning of localization map in the structure sheaf of an affine scheme

asked Apr 26, 2016 at 18:32

2 votes

1 answer

934 views

Submodule of a free module with the same rank is a direct summand

asked Feb 2, 2016 at 23:14

2 votes

1 answer

431 views

Representations on an infinite dimensional graded vector space

asked Feb 4, 2016 at 6:13

1 vote

0 answers

354 views

Intersection of tensor product of vector spaces whose intersection is $\{0\}$ is trivial

asked Feb 10, 2016 at 3:07

1 vote

2 answers

549 views

Generators for a free submodule of a free module

asked Feb 11, 2016 at 4:49

1 vote

1 answer

132 views

Symmetric Polynomials and Automorphisms of Complex Polynomial Rings

asked Jun 15, 2015 at 2:09

1 vote

2 answers

318 views

Tensor product with irreducible representation has no $G$-invariant submodules

asked Jan 22, 2016 at 5:24

1 vote

1 answer

245 views

Let $a_1,a_2,a_3,...,a_n$ be elements of a group $(G,)$. Show by induction that $a_1a_2a_3...a_n$ always gives the same answer.

asked Jul 4, 2014 at 20:30

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54 Questions

When are quadratic rings of integers unique factorization domains?

Is every finite group a normal subgroup of a symmetric group?

List of theorems named after non-human animals [closed]

Proof of squeeze theorem for functions

Degree of $a+b$ over a field $k$, where $a$ and $b$ are distinct roots of the same polynomial

(Co)completeness of the category of abelian group objects in a (co)complete category

Categories generated by a single object

Almost symmetric polynomial?

When are homology groups the trivial group?

Let $(G,)$ be a group and $g$ be a fixed element of $G$. Prove that $G=\{gx \mid x \in G\}$

Does there exist a subgroup $G$ of $\mathbb{R}$ such that $\mathbb{R}/G \cong \mathbb{Z}$?

When does non-spanning imply linear independence in a free $R$-module

Definition of multiplicity of trivial representation

If $(A/\mathfrak{m})_{\pi(f)}$ is a field then $A/\mathfrak{m}$ is a field

Dualizable presheaves with respect to Day convolution

No nontrivial subspaces implies irreducibility of characteristic polynomial

Every line bundle on a complex algebraic curve has a meromorphic section

$G$-invariant linear functions on $V \otimes \mathfrak{g}$ are $N(T)$-invariant linear functions on $V \otimes \mathfrak{h}$

$Pro$ objects as presheaves

If $\dim(A/\mathfrak p)=\dim(A)-1$, then is $\mathfrak p$ principal?

Mistake in proof that $(V \otimes W)^* \cong V^* \otimes W^*$

Category of (co)commutative Hopf monoids

Meaning of localization map in the structure sheaf of an affine scheme

Submodule of a free module with the same rank is a direct summand

Representations on an infinite dimensional graded vector space

Intersection of tensor product of vector spaces whose intersection is $\{0\}$ is trivial

Generators for a free submodule of a free module

Symmetric Polynomials and Automorphisms of Complex Polynomial Rings

Tensor product with irreducible representation has no $G$-invariant submodules

Let $a_1,a_2,a_3,...,a_n$ be elements of a group $(G,)$. Show by induction that $a_1a_2a_3...a_n$ always gives the same answer.