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user2973447
  • Member for 10 years, 5 months
  • Last seen more than 5 years ago
4 votes
1 answer
1k views

Show that if $a+bi$ is irreducible over $\mathbb{Z} [i]$ then $a^2 + b^2$ is prime over $\mathbb{Z} $

3 votes
2 answers
4k views

Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$

3 votes
2 answers
297 views

Determine whether the splitting field of a polynomial contains a subfield M such that M:$\mathbb {Q}$ is not normal

3 votes
1 answer
1k views

Show that $g^p (1 + p)$ is a primitive root modulo $p^e$

3 votes
0 answers
195 views

Help with understanding homotopy commutative diagrams.

2 votes
1 answer
53 views

Show that $\mathcal L ⊆\mathcal L^*$ on a semigroup $S$

2 votes
1 answer
844 views

Riemann tensor with all indices lowered on a 2D manifold

2 votes
2 answers
2k views

Sturm-Liouville Problem eigenvalues and eigenfunctions

2 votes
2 answers
1k views

Show that if a quadratic form is primitive then so are equivalent forms

2 votes
2 answers
5k views

Steady state solution for wave equation with gravity

1 vote
2 answers
496 views

Rotation matrix

1 vote
2 answers
70 views

component of a vector $\mathbf a$ onto vector $\mathbf b$

1 vote
1 answer
403 views

Subgroup Lattice of D14 - normal and centre

1 vote
1 answer
273 views

Proving a function is a monomorphism

1 vote
2 answers
6k views

Lagrangian for 2 masses connected by a spring

1 vote
1 answer
148 views

Clarifying the First Isomorphism Theorem

1 vote
2 answers
408 views

Show that a semigroup $S$ is a rectangular band if and only if $ab=ba \Rightarrow a=b$

1 vote
1 answer
58 views

Show $(a,b)$ is in the equivalence relation $L_s$ iff $(ap,bp)$ is in $L_{s/p}$ where p is a congruence on semigroup S

1 vote
1 answer
190 views

Find a Mobius transformation which takes A to B and the Euclidean centre of A to the Euclidean centre of B

1 vote
1 answer
131 views

Finding a Mobius transformation which takes any 2 points in upper half plane to points with same imaginary part

1 vote
1 answer
419 views

Show that if a Mobius transformation, $m$, is parabolic then it's displacement, $disp(m)=0$

1 vote
1 answer
27 views

Showing that (T,*) is a semigroup where T is the trace and * is defined inside

1 vote
0 answers
31 views

Showing the group of square-integrable funtion of a Hilbert space is $\pi (G)$- invariant

1 vote
1 answer
390 views

Going from $\mathbb Z_2 \times ... \times \mathbb Z_3$ to $\mathbb Z_n \oplus \mathbb Z_m$

0 votes
1 answer
36 views

What is the $*$ in topological maps? For example $T(x,*) = (*,x)$ and $T(*,y) = (y,*)$?

0 votes
1 answer
222 views

Show that any side of a hyperbolic triangle in the hyperbolic plane lies in the closed $δ$-neighborhood of the union of the two other sides.

0 votes
0 answers
30 views

Show that $l^2(\Bbb N , F)$ with equipped norm is not complete.

0 votes
1 answer
296 views

Solving a quartic congruence modulo 175

0 votes
1 answer
50 views

Finding a ring homomorphism mapping $\Bbb{Q}[x]$ to $\Bbb{Z}$

0 votes
3 answers
75 views

Shown $p \in \mathbb{Z} [i]$ is a prime given $p\in \mathbb{Z}$ is a prime and $p$ does not equal $x^2 + y^2$