Question

Taft-Hopf Algebra has dimension $N^2$?

score 87 · Answer 1 · 2026-03-25 09:48:53

87

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Taft-Hopf Algebra has dimension $N^2$?

Published on 25 Mar 2026 - 9:48

score 1.9k · Answer 2 · 2026-03-25 16:06:59

1.9k

Views

Two reflections generating the Dihedral group $D_n$

Published on 25 Mar 2026 - 16:06

score 297 · Answer 3 · 2016-08-15 12:37:36

297

Views

Finitely generated $\mathbb{C}$-subalgebras of $\mathbb{C}[x]$.

Published on 15 Aug 2016 - 12:37

score 327 · Answer 4 · 2016-08-25 18:48:45

327

Views

Order of group with three generators

Published on 25 Aug 2016 - 18:48

score 69 · Answer 5 · 2016-08-30 12:51:11

69

Views

Does $B/A \cong D/C$ imply $C/A \cong D/B$ for fin. gen. free $\mathbb{Z}$-modules?

Published on 30 Aug 2016 - 12:51

score 311 · Answer 6 · 2016-09-01 12:42:21

311

Views

What is $\Bbb Z^n/(a_1, \dots, a_n)$ or $\Bbb Z^n / I$ isomorphic to?

Published on 01 Sep 2016 - 12:42

score 338 · Answer 7 · 2026-03-26 09:50:05

338

Views

Let $S$ be a generating subset of a free abelian group of rank $k$ s.t. $|S|=k$ , then is the set $S$ linearly independent?

Published on 26 Mar 2026 - 9:50

score 212 · Answer 8 · 2026-03-26 09:51:23

212

Views

$G$ be a free abelian group of rank $k$ , let $S$ be a subset of $G$ that generates $G$ then is it true that $|S| \ge k$?

Published on 26 Mar 2026 - 9:51

score 38 · Answer 9 · 2026-03-26 09:50:06

38

Views

$G$ be a free abelian group of rank $k$ , let $S$ be a subset of $G$ linearly independent over $\mathbb Z$ , then is it true that $|S| \le k$?

Published on 26 Mar 2026 - 9:50

score 130 · Answer 10 · 2016-09-03 18:21:00

130

Views

Generators for a module

Published on 03 Sep 2016 - 18:21

score 46 · Answer 11 · 2016-09-08 11:09:06

46

Views

Is it true that there is a exact sequence of form $0 \to K \to A^m \to P \to O$ where $K$ is finitely generated?

Published on 08 Sep 2016 - 11:09

score 696 · Answer 12 · 2016-09-13 22:09:15

696

Views

Proof of the stacked bases theorem using the structure theorem for finitely generated abelian group.

Published on 13 Sep 2016 - 22:09

score 1.5k · Answer 13 · 2016-09-26 18:24:20

1.5k

Views

Localization and annihilator of modules

Published on 26 Sep 2016 - 18:24

score 1k · Answer 14 · 2026-03-25 13:55:26

1k

Views

Number of generators of a finitely generated module

Published on 25 Mar 2026 - 13:55

score 138 · Answer 15 · 2026-03-26 02:47:53

138

Views

$M$ be a finitely gnerated module with a submodule $N$ such that $M/N$ is free , then is $N$ finitely generated?

Published on 26 Mar 2026 - 2:47

List Question

Taft-Hopf Algebra has dimension $N^2$?

Two reflections generating the Dihedral group $D_n$

Finitely generated $\mathbb{C}$-subalgebras of $\mathbb{C}[x]$.

Order of group with three generators

Does $B/A \cong D/C$ imply $C/A \cong D/B$ for fin. gen. free $\mathbb{Z}$-modules?

What is $\Bbb Z^n/(a_1, \dots, a_n)$ or $\Bbb Z^n / I$ isomorphic to?

Let $S$ be a generating subset of a free abelian group of rank $k$ s.t. $|S|=k$ , then is the set $S$ linearly independent?

$G$ be a free abelian group of rank $k$ , let $S$ be a subset of $G$ that generates $G$ then is it true that $|S| \ge k$?

$G$ be a free abelian group of rank $k$ , let $S$ be a subset of $G$ linearly independent over $\mathbb Z$ , then is it true that $|S| \le k$?

Generators for a module

Is it true that there is a exact sequence of form $0 \to K \to A^m \to P \to O$ where $K$ is finitely generated?

Proof of the stacked bases theorem using the structure theorem for finitely generated abelian group.

Localization and annihilator of modules

Number of generators of a finitely generated module

$M$ be a finitely gnerated module with a submodule $N$ such that $M/N$ is free , then is $N$ finitely generated?

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