Question

map $A \otimes B \to A \otimes C$ induced by inclusion an injection even if $A$ not free?

score 119 · Answer 1 · 2019-06-03 16:13:18

119

Views

map $A \otimes B \to A \otimes C$ induced by inclusion an injection even if $A$ not free?

Published on 03 Jun 2019 - 16:13

score 44 · Answer 2 · 2019-06-23 14:39:25

44

Views

$0\to A_1 \xrightarrow{\phi} A_2 \xrightarrow{\psi} A_3 \to 0$, if $A_3$ is free abelian then the sequence splits.

Published on 23 Jun 2019 - 14:39

score 173 · Answer 3 · 2019-06-27 09:52:40

173

Views

Basis of $G/H$ for free abelian groups G.

Published on 27 Jun 2019 - 9:52

score 58 · Answer 4 · 2026-03-25 16:01:22

58

Views

Invariant basis of some free $\mathbb{Z}$-module

Published on 25 Mar 2026 - 16:01

score 211 · Answer 5 · 2019-08-27 00:18:58

211

Views

Question about the definition of a free abelian group

Published on 27 Aug 2019 - 0:18

score 159 · Answer 6 · 2019-09-07 08:35:04

159

Views

Proving that the following subset of $\mathbb{Z}$ is the subgroup generated by its minimum

Published on 07 Sep 2019 - 8:35

score 160 · Answer 7 · 2019-09-10 15:46:25

160

Views

What is the free abelian group of an infinite set?

Published on 10 Sep 2019 - 15:46

score 80 · Answer 8 · 2019-09-14 14:27:27

80

Views

Quotient of $\Bbb Z^{\Bbb N}$ by a cyclic subgroup is isomorphic to itself

Published on 14 Sep 2019 - 14:27

score 273 · Answer 9 · 2026-03-25 02:39:08

273

Views

Question about accessibility of category of free abelian groups.

Published on 25 Mar 2026 - 2:39

score 91 · Answer 10 · 2019-10-03 15:40:17

91

Views

Isomorphism between free abelian groups that fit into a short exact sequence

Published on 03 Oct 2019 - 15:40

score 110 · Answer 11 · 2019-11-06 15:55:04

110

Views

Finding the quotient of this free abelian group

Published on 06 Nov 2019 - 15:55

score 198 · Answer 12 · 2019-11-11 23:23:54

198

Views

Show that if $G$ is free abelian with basis $\{x, y\}$, show that $\{2x+3y, x+y\}$ is also a basis for $G$

Published on 11 Nov 2019 - 23:23

score 125 · Answer 13 · 2019-11-12 20:08:10

125

Views

Munkres' Section 67 Exercise 6 --- Rank of the subgroups of free abelian group with finite rank.

Published on 12 Nov 2019 - 20:08

score 389 · Answer 14 · 2019-12-03 05:40:56

389

Views

Order of the set of group homomorphisms from $\mathbb{Z}^n$ into an arbitrary finite group $G$.

Published on 03 Dec 2019 - 5:40

score 62 · Answer 15 · 2026-02-26 22:12:18

62

Views

What notions, theorems, proofs connect Free Abelian Groups, $F(n)$, factored by a subgroup with eigenvalues and eigenvectors?

Published on 26 Feb 2026 - 22:12

List Question

map $A \otimes B \to A \otimes C$ induced by inclusion an injection even if $A$ not free?

$0\to A_1 \xrightarrow{\phi} A_2 \xrightarrow{\psi} A_3 \to 0$, if $A_3$ is free abelian then the sequence splits.

Basis of $G/H$ for free abelian groups G.

Invariant basis of some free $\mathbb{Z}$-module

Question about the definition of a free abelian group

Proving that the following subset of $\mathbb{Z}$ is the subgroup generated by its minimum

What is the free abelian group of an infinite set?

Quotient of $\Bbb Z^{\Bbb N}$ by a cyclic subgroup is isomorphic to itself

Question about accessibility of category of free abelian groups.

Isomorphism between free abelian groups that fit into a short exact sequence

Finding the quotient of this free abelian group

Show that if $G$ is free abelian with basis $\{x, y\}$, show that $\{2x+3y, x+y\}$ is also a basis for $G$

Munkres' Section 67 Exercise 6 --- Rank of the subgroups of free abelian group with finite rank.

Order of the set of group homomorphisms from $\mathbb{Z}^n$ into an arbitrary finite group $G$.

What notions, theorems, proofs connect Free Abelian Groups, $F(n)$, factored by a subgroup with eigenvalues and eigenvectors?

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