Question

$W_1,...,W_n$ be any $1$-dimensional subspaces , is there a $2$-dimensional subspace $W$ with $W \cap (\cup_{i=1}^n W_i)=\{0\}$?

score 69 · Answer 1 · 2026-04-15 17:18:54

69

Views

$W_1,...,W_n$ be any $1$-dimensional subspaces , is there a $2$-dimensional subspace $W$ with $W \cap (\cup_{i=1}^n W_i)=\{0\}$?

Published on 15 Apr 2026 - 17:18

score 107 · Answer 2 · 2026-04-12 14:24:07

107

Views

Question about Galois Theory. Extension of a field of odd characteristic.

Published on 12 Apr 2026 - 14:24

score 171 · Answer 3 · 2026-05-10 14:05:57

171

Views

Understanding groups that have a similar presentation as $S_n$

Published on 10 May 2026 - 14:05

score 47 · Answer 4 · 2026-04-14 21:02:23

47

Views

If $S$ is a subset of $G$ with $|S| > \frac{|G|}{2}$ , then given $g \in G$ prove that $\exists a,b \in S$ so that $ab^{-1} = g$

Published on 14 Apr 2026 - 21:02

score 49 · Answer 5 · 2026-04-14 19:53:23

49

Views

Does $(5,X^2+1)=(5)+(X^2+1)$ in $\mathbb Z[X]$ ?

Published on 14 Apr 2026 - 19:53

score 752 · Answer 6 · 2026-05-11 09:36:30

752

Views

UNSOLVED Find an integer $\geqslant2$ that is build up out of only $1$'s and $0$'s in base $1,\;\ldots,\;10$.

Published on 11 May 2026 - 9:36

score 61 · Answer 7 · 2026-04-15 06:03:56

61

Views

If $f$ is injective, $\alpha^{e} \subseteq \beta^{e}$, then is it true $\alpha\subseteq \beta$?

Published on 15 Apr 2026 - 6:03

score 100 · Answer 8 · 2026-04-15 06:12:05

100

Views

Why is this function neither surjective nor injective?

Published on 15 Apr 2026 - 6:12

score 236 · Answer 9 · 2026-05-11 04:22:14

236

Views

Is $ \mathbb{R}[x,y]/(x^2-y^2) \cong \mathbb{R}[x,y]/(x-y) \times \mathbb{R}[x,y]/(x+y) $?

Published on 11 May 2026 - 4:22

score 53 · Answer 10 · 2026-04-16 12:26:20

53

Views

Langs Algebra, module isomorphsim, alternate proof, p644

Published on 16 Apr 2026 - 12:26

score 546 · Answer 11 · 2026-04-11 02:31:51

546

Views

Division ring as a vector space over a subfield

Published on 11 Apr 2026 - 2:31

score 89 · Answer 12 · 2026-04-09 20:51:45

89

Views

Galois Theory and automorphisms

Published on 09 Apr 2026 - 20:51

score 70 · Answer 13 · 2026-04-16 19:20:00

70

Views

To prove that all sub rings of $Q$ Euclidean Domain , what will be Euclidean Valuation?

Published on 16 Apr 2026 - 19:20

score 283 · Answer 14 · 2026-05-11 04:40:46

283

Views

On the irreducibility of a polynomial that almost satisfies Eisenstein's Criterion

Published on 11 May 2026 - 4:40

score 39 · Answer 15 · 2026-04-15 19:36:09

39

Views

Simple modules of $F[V_4]$ where $F= \mathbb{F}_2$; better computation

Published on 15 Apr 2026 - 19:36

List Question

$W_1,...,W_n$ be any $1$-dimensional subspaces , is there a $2$-dimensional subspace $W$ with $W \cap (\cup_{i=1}^n W_i)=\{0\}$?

Question about Galois Theory. Extension of a field of odd characteristic.

Understanding groups that have a similar presentation as $S_n$

If $S$ is a subset of $G$ with $|S| > \frac{|G|}{2}$ , then given $g \in G$ prove that $\exists a,b \in S$ so that $ab^{-1} = g$

Does $(5,X^2+1)=(5)+(X^2+1)$ in $\mathbb Z[X]$ ?

UNSOLVED Find an integer $\geqslant2$ that is build up out of only $1$'s and $0$'s in base $1,\;\ldots,\;10$.

If $f$ is injective, $\alpha^{e} \subseteq \beta^{e}$, then is it true $\alpha\subseteq \beta$?

Why is this function neither surjective nor injective?

Is $ \mathbb{R}[x,y]/(x^2-y^2) \cong \mathbb{R}[x,y]/(x-y) \times \mathbb{R}[x,y]/(x+y) $?

Langs Algebra, module isomorphsim, alternate proof, p644

Division ring as a vector space over a subfield

Galois Theory and automorphisms

To prove that all sub rings of $Q$ Euclidean Domain , what will be Euclidean Valuation?

On the irreducibility of a polynomial that almost satisfies Eisenstein's Criterion

Simple modules of $F[V_4]$ where $F= \mathbb{F}_2$; better computation

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