Question

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

score 122 · Answer 1 · 2026-04-14 22:14:03

122

Views

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

Published on 14 Apr 2026 - 22:14

score 46 · Answer 2 · 2026-04-15 15:24:23

46

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 15 Apr 2026 - 15:24

score 176 · Answer 3 · 2026-04-15 22:32:55

176

Views

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

Published on 15 Apr 2026 - 22:32

score 60 · Answer 4 · 2026-04-11 19:19:15

60

Views

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

Published on 11 Apr 2026 - 19:19

score 214 · Answer 5 · 2026-04-12 08:45:44

214

Views

Question about the definition of a free abelian group

Published on 12 Apr 2026 - 8:45

score 162 · Answer 6 · 2026-04-13 12:15:57

162

Views

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

Published on 13 Apr 2026 - 12:15

score 163 · Answer 7 · 2026-04-11 07:06:08

163

Views

What is the free abelian group of an infinite set?

Published on 11 Apr 2026 - 7:06

score 83 · Answer 8 · 2026-04-13 21:45:51

83

Views

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

Published on 13 Apr 2026 - 21:45

score 294 · Answer 9 · 2026-05-04 11:34:52

294

Views

Question about accessibility of category of free abelian groups.

Published on 04 May 2026 - 11:34

score 93 · Answer 10 · 2026-05-03 20:01:48

93

Views

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

Published on 03 May 2026 - 20:01

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 390 · Answer 14 · 2026-03-26 03:18:26

390

Views

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

Published on 26 Mar 2026 - 3:18

score 64 · Answer 15 · 2026-05-02 05:12:47

64

Views

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

Published on 02 May 2026 - 5:12

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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