User stillconfused - Mathematics Stack Exchange

7 votes

"Schaum's Outline of General Topology" by S. Lipschutz. Is it good choice for self study General Topology?

answered Oct 20, 2018 at 22:59

5 votes

Accepted

Show that there can't be a graph with degrees $4,4,4,2,1$ and $1$

answered Nov 14, 2023 at 17:39

4 votes

Accepted

connected Graph with $n$ vertices and $n-1$ edges contains unique $u-v$ path

answered May 9, 2022 at 16:01

3 votes

Question on injective-surjective functions, regarding cardinality of domain, codomain

answered Oct 21, 2018 at 19:34

3 votes

Theorem 3.2, Chapter 1, of Hartshorne's Algebraic Geometry

answered Aug 29, 2022 at 20:52

3 votes

Determine the invariant factors of $\mathbb{Z^2}$

answered Sep 16, 2022 at 22:29

3 votes

Is there always a general formula for the linear transformation that maps polynomials to one of their antiderivatives?

answered Sep 15, 2022 at 23:27

2 votes

Given a group $G$ and $x \in G$, can we say that $x^t$ and $x^p,\forall t,p \in \mathbb{Z}$ are commutative with respect to group operation?

answered Sep 16, 2022 at 20:30

2 votes

Accepted

$\langle f(x)\rangle + \langle g(x)\rangle = \langle\text{gcd}(f,g)(x)\rangle$

answered Oct 24, 2018 at 2:05

2 votes

If $F^{\times}$ has a subgroup of order 17, then the smallest possible order of the field $F$

answered Sep 12, 2022 at 21:00

2 votes

Accepted

Property of Flat Modules

answered Jul 18, 2022 at 15:19

1 vote

If $R'$ is a faithfully flat $R-$algebra, then $(B/f(A))\otimes_R R' \cong B'/f' (A')$

answered Jul 18, 2022 at 20:10

1 vote

Accepted

Showing that the definition of a morphism from $V_1$ to $V_2$ in Silverman is well-defined

answered Aug 30, 2022 at 22:23

1 vote

Accepted

One point compactifition

answered Aug 29, 2022 at 22:45

1 vote

Accepted

infinite series is convergent

answered Jun 3, 2022 at 20:57

1 vote

Every polynomial has the same roots as any of its associates.

answered Nov 15, 2017 at 23:55

1 vote

Is the image of an open ball in $I\times I$ open in the torus via the quotient map?

answered May 12, 2022 at 16:32

1 vote

Accepted

Question about direct sum of tangent spaces.

answered May 27, 2022 at 16:07

1 vote

Endomorphisms of a supersingular elliptic curve defined over the prime field

answered May 9 at 22:21

1 vote

Inference proofs using direct proofs

answered Sep 20, 2022 at 18:19

1 vote

Factorization of polynomials in $\mathbb{Q_p}[X]$

answered Dec 5, 2023 at 1:11

1 vote

Accepted

Prove that if $f: \mathbb{R} \to \mathbb{R}$ is convex and bounded from above, then $f$ is constant.

answered Nov 29, 2023 at 22:20

1 vote

Prove that for a imaginary quadratic field $K/\mathbb Q$, $Cl(K)/2Cl(K)= (\mathbb Z/2)^{r-1}$ where $r$ is the number of prime that ramify in $K$.

answered Jan 6 at 21:32

1 vote

Let $P$ and $Q$ are distinct prime ideals of the ring $R$ with $P \cap Q = 0$, then $R$ is isomorphic to a subring of the direct product of two fields

answered Jan 19 at 22:01

1 vote

Accepted

$N( (p) \mathcal{O}_F) = p^n$, where $n:=[ F : \mathbb{Q}]$, $F$ is a number field ( Norm of ideal )?

answered Apr 23 at 22:26

0 votes

$f(x) = 24x^4 + 30x^3 + 18x^2 + 8x + 2$ find the degree modulo $12$, $6$ and $2$

answered Oct 16, 2022 at 18:28

0 votes

Accepted

Dimension of the Splitting field

answered Oct 18, 2022 at 18:15

0 votes

Accepted

Voight Quaternion Algebras proof of Lemma 42.2.7

answered Mar 19 at 20:27

0 votes

Accepted

Silverman AEC-Theorem 9.3

answered Aug 2, 2023 at 14:40

0 votes

Question on bounding error tems in Taylor's Theorem

answered May 27, 2022 at 22:56

Stack Exchange Network

32 Answers

"Schaum's Outline of General Topology" by S. Lipschutz. Is it good choice for self study General Topology?

Show that there can't be a graph with degrees $4,4,4,2,1$ and $1$

connected Graph with $n$ vertices and $n-1$ edges contains unique $u-v$ path

Question on injective-surjective functions, regarding cardinality of domain, codomain

Theorem 3.2, Chapter 1, of Hartshorne's Algebraic Geometry

Determine the invariant factors of $\mathbb{Z^2}$

Is there always a general formula for the linear transformation that maps polynomials to one of their antiderivatives?

Given a group $G$ and $x \in G$, can we say that $x^t$ and $x^p,\forall t,p \in \mathbb{Z}$ are commutative with respect to group operation?

$\langle f(x)\rangle + \langle g(x)\rangle = \langle\text{gcd}(f,g)(x)\rangle$

If $F^{\times}$ has a subgroup of order 17, then the smallest possible order of the field $F$

Property of Flat Modules

If $R'$ is a faithfully flat $R-$algebra, then $(B/f(A))\otimes_R R' \cong B'/f' (A')$

Showing that the definition of a morphism from $V_1$ to $V_2$ in Silverman is well-defined

One point compactifition

infinite series is convergent

Every polynomial has the same roots as any of its associates.

Is the image of an open ball in $I\times I$ open in the torus via the quotient map?

Question about direct sum of tangent spaces.

Endomorphisms of a supersingular elliptic curve defined over the prime field

Inference proofs using direct proofs

Factorization of polynomials in $\mathbb{Q_p}[X]$

Prove that if $f: \mathbb{R} \to \mathbb{R}$ is convex and bounded from above, then $f$ is constant.

Prove that for a imaginary quadratic field $K/\mathbb Q$, $Cl(K)/2Cl(K)= (\mathbb Z/2)^{r-1}$ where $r$ is the number of prime that ramify in $K$.

Let $P$ and $Q$ are distinct prime ideals of the ring $R$ with $P \cap Q = 0$, then $R$ is isomorphic to a subring of the direct product of two fields

$N( (p) \mathcal{O}_F) = p^n$, where $n:=[ F : \mathbb{Q}]$, $F$ is a number field ( Norm of ideal )?

$f(x) = 24x^4 + 30x^3 + 18x^2 + 8x + 2$ find the degree modulo $12$, $6$ and $2$

Dimension of the Splitting field

Voight Quaternion Algebras proof of Lemma 42.2.7

Silverman AEC-Theorem 9.3

Question on bounding error tems in Taylor's Theorem