Question

Using parameterization of a circle to find all integer solutions to $X^2 + Y^2 = Z^2$?

score 171 · Answer 1 · 2026-04-15 08:53:54

171

Views

Using parameterization of a circle to find all integer solutions to $X^2 + Y^2 = Z^2$?

Published on 15 Apr 2026 - 8:53

score 41 · Answer 2 · 2026-04-15 04:16:09

41

Views

On the cyclic groups

Published on 15 Apr 2026 - 4:16

score 231 · Answer 3 · 2026-04-13 09:31:33

231

Views

Possible periods of the elements in $\mathbb{Z}_n$

Published on 13 Apr 2026 - 9:31

score 98 · Answer 4 · 2026-05-14 07:59:19

98

Views

Bounding the number of cells of CW decomposition using known homology groups

Published on 14 May 2026 - 7:59

score 53 · Answer 5 · 2026-04-10 19:59:57

53

Views

Inductive Method

Published on 10 Apr 2026 - 19:59

score 80 · Answer 6 · 2026-04-13 17:03:13

80

Views

Is the valued field $K$ complete if $[L:K]<\infty$ and $L$ is complete?

Published on 13 Apr 2026 - 17:03

score 500 · Answer 7 · 2026-04-16 07:01:22

500

Views

An example of non commutative ring where $ab=0$ but $ba\neq0$

Published on 16 Apr 2026 - 7:01

score 278 · Answer 8 · 2026-04-15 15:14:05

278

Views

Laurent polynomial rings are integrally closed

Published on 15 Apr 2026 - 15:14

score 203 · Answer 9 · 2026-05-11 02:25:41

203

Views

If $f_1,...,f_k$ are given holomorphic functions and $f$ is such that $f_i/f$ is holomorphic then $g_1f_1 + \cdots + g_nf_n = gf$

Published on 11 May 2026 - 2:25

score 79 · Answer 10 · 2026-04-13 23:27:57

79

Views

For $H=\{(x,y)\in\mathbb{Z}:3x+4y\equiv 0 \mod 5\}$, find a group isomorphism $\mathbb{Z}^2\to H$

Published on 13 Apr 2026 - 23:27

score 38 · Answer 11 · 2026-04-16 06:48:56

38

Views

How to prove $\operatorname{Gal}(L/\mathbb{Q})$ is either $S_3$ or $A_3$

Published on 16 Apr 2026 - 6:48

score 1.2k · Answer 12 · 2026-04-15 07:11:45

1.2k

Views

How to draw subgroup lattice for extension field $\mathbb{Q}(\sqrt[4]{2},i)$

Published on 15 Apr 2026 - 7:11

score 1k · Answer 13 · 2026-05-10 12:32:07

1k

Views

$x^n = x$ implies commutativity, a universal algebraic proof?

Published on 10 May 2026 - 12:32

score 54 · Answer 14 · 2026-04-10 16:53:52

54

Views

How to check if a number divides a very large number using modulo

Published on 10 Apr 2026 - 16:53

score 45 · Answer 15 · 2026-05-14 20:06:09

45

Views

How to analyse congruence equations?

Published on 14 May 2026 - 20:06

List Question

Using parameterization of a circle to find all integer solutions to $X^2 + Y^2 = Z^2$?

On the cyclic groups

Possible periods of the elements in $\mathbb{Z}_n$

Bounding the number of cells of CW decomposition using known homology groups

Inductive Method

Is the valued field $K$ complete if $[L:K]<\infty$ and $L$ is complete?

An example of non commutative ring where $ab=0$ but $ba\neq0$

Laurent polynomial rings are integrally closed

If $f_1,...,f_k$ are given holomorphic functions and $f$ is such that $f_i/f$ is holomorphic then $g_1f_1 + \cdots + g_nf_n = gf$

For $H=\{(x,y)\in\mathbb{Z}:3x+4y\equiv 0 \mod 5\}$, find a group isomorphism $\mathbb{Z}^2\to H$

How to prove $\operatorname{Gal}(L/\mathbb{Q})$ is either $S_3$ or $A_3$

How to draw subgroup lattice for extension field $\mathbb{Q}(\sqrt[4]{2},i)$

$x^n = x$ implies commutativity, a universal algebraic proof?

How to check if a number divides a very large number using modulo

How to analyse congruence equations?

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