Question

Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

score 119 · Answer 1 · 2026-04-17 15:46:44

119

Views

Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

Published on 17 Apr 2026 - 15:46

score 43 · Answer 2 · 2026-04-22 09:29:26

43

Views

Proof verification: If $H_{1}\unlhd G$ and $H_{2}\unlhd G$, then $H_{1}\cap H_{2}\unlhd G$.

Published on 22 Apr 2026 - 9:29

score 594 · Answer 3 · 2026-04-22 09:29:26

594

Views

Proving that K is the unique subgroup of G having order |K|

Published on 22 Apr 2026 - 9:29

score 1.5k · Answer 4 · 2026-04-14 09:51:10

1.5k

Views

$HK$ is a subgroup of $G$ if and only if $HK = KH$

Published on 14 Apr 2026 - 9:51

score 241 · Answer 5 · 2026-04-15 20:40:48

241

Views

Let $K=\mathbb{Q}(t)$ be the field of rational functions in the transcendental element t.

Published on 15 Apr 2026 - 20:40

score 5.9k · Answer 6 · 2026-04-22 09:28:12

5.9k

Views

Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

Published on 22 Apr 2026 - 9:28

score 690 · Answer 7 · 2026-04-13 22:09:00

690

Views

If group $G$ is cyclic, then quotient group $G/H$ is cyclic.

Published on 13 Apr 2026 - 22:09

score 532 · Answer 8 · 2026-04-09 14:39:47

532

Views

The proof of Fundamental Theorem of Finitely Generated Abelian Groups

Published on 09 Apr 2026 - 14:39

score 50 · Answer 9 · 2026-04-10 13:16:23

50

Views

Bijective Function of Group

Published on 10 Apr 2026 - 13:16

score 320 · Answer 10 · 2026-04-14 03:22:18

320

Views

Definition of inner automorphism on operator algebras

Published on 14 Apr 2026 - 3:22

score 169 · Answer 11 · 2026-04-14 13:57:47

169

Views

research about smarandache

Published on 14 Apr 2026 - 13:57

score 688 · Answer 12 · 2026-04-13 06:57:15

688

Views

How fo show if $(R,+)$ is cyclic group then is commutative

Published on 13 Apr 2026 - 6:57

score 119 · Answer 13 · 2026-04-15 22:23:40

119

Views

Find a polynomial $f(x)$ with integer coefficients such that $f(\sqrt2+i)=0$

Published on 15 Apr 2026 - 22:23

score 226 · Answer 14 · 2026-04-22 17:45:04

226

Views

Definition of free module.

Published on 22 Apr 2026 - 17:45

score 69 · Answer 15 · 2026-04-17 11:03:12

69

Views

$1+m$ with $m\in (t_1,\ldots, t_n)$ is a unit in $K[[t_1,\ldots,t_n]]$

Published on 17 Apr 2026 - 11:03

List Question

Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

Proof verification: If $H_{1}\unlhd G$ and $H_{2}\unlhd G$, then $H_{1}\cap H_{2}\unlhd G$.

Proving that K is the unique subgroup of G having order |K|

$HK$ is a subgroup of $G$ if and only if $HK = KH$

Let $K=\mathbb{Q}(t)$ be the field of rational functions in the transcendental element t.

Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

If group $G$ is cyclic, then quotient group $G/H$ is cyclic.

The proof of Fundamental Theorem of Finitely Generated Abelian Groups

Bijective Function of Group

Definition of inner automorphism on operator algebras

research about smarandache

How fo show if $(R,+)$ is cyclic group then is commutative

Find a polynomial $f(x)$ with integer coefficients such that $f(\sqrt2+i)=0$

Definition of free module.

$1+m$ with $m\in (t_1,\ldots, t_n)$ is a unit in $K[[t_1,\ldots,t_n]]$

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