Question

Homomorphism between integers and $(-1,1)$ under any operation contains an irrational point

score 41 · Answer 1 · 2020-03-22 01:35:24

41

Views

Homomorphism between integers and $(-1,1)$ under any operation contains an irrational point

Published on 22 Mar 2020 - 1:35

score 45 · Answer 2 · 2020-03-24 03:47:08

45

Views

Number of group homomorphisms

Published on 24 Mar 2020 - 3:47

score 70 · Answer 3 · 2020-03-25 10:48:23

70

Views

Confusion about the definiton of $\mathrm{Hom}_G(V_1,V_2)$

Published on 25 Mar 2020 - 10:48

score 44 · Answer 4 · 2020-03-27 20:25:47

44

Views

Extending a homomorphism uniquely from $\mathbb{N}$ to $\mathbb{Z}$

Published on 27 Mar 2020 - 20:25

score 308 · Answer 5 · 2020-03-30 21:43:22

308

Views

Can someone explain and simplify projection maps and surjective homomorphisms

Published on 30 Mar 2020 - 21:43

score 54 · Answer 6 · 2020-03-31 02:02:26

54

Views

Given a specific 2 by 2 matrix that is a subset of all 2 by 2 real matrices find an isomorphisim between the matrix and complex number system

Published on 31 Mar 2020 - 2:02

score 49 · Answer 7 · 2020-04-01 18:23:22

49

Views

Surjective homomorphism?

Published on 01 Apr 2020 - 18:23

score 121 · Answer 8 · 2020-04-05 20:18:31

121

Views

Prove $\alpha:G\rightarrow H $ is a homomorphism (G,H finite) $\implies$ $|\alpha(G)|$ divides $|G|$ and $|H|$

Published on 05 Apr 2020 - 20:18

score 108 · Answer 9 · 2020-04-06 01:05:30

108

Views

$Hom_R(R,R/I)$ isomorphic to R/I as R-modules

Published on 06 Apr 2020 - 1:05

score 113 · Answer 10 · 2020-04-06 03:42:19

113

Views

Finding homomorphism for a specific kernel

Published on 06 Apr 2020 - 3:42

score 99 · Answer 11 · 2020-04-06 12:13:29

99

Views

Kernel of homomorphism/Normal Subgroup for nxn matrices under multiplication

Published on 06 Apr 2020 - 12:13

score 1.5k · Answer 12 · 2020-04-09 04:06:43

1.5k

Views

Proving $\phi (N)$ is a normal subgroup of $\phi (G)$

Published on 09 Apr 2020 - 4:06

score 156 · Answer 13 · 2026-03-28 04:34:16

156

Views

Finite p-group contains normal subgroups $H_i$, $|H_i| = p^i$

Published on 28 Mar 2026 - 4:34

score 44 · Answer 14 · 2026-03-26 12:41:10

44

Views

An isomorphism onto the additive group $\mathbb{Z}\times\mathbb{Z}$

Published on 26 Mar 2026 - 12:41

score 172 · Answer 15 · 2020-04-13 16:03:16

172

Views

Let u be a strictly positive endomorphism with distinct eigenvalues. Prove that there exists unique v > 0 $v^2 =u$

Published on 13 Apr 2020 - 16:03

List Question

Homomorphism between integers and $(-1,1)$ under any operation contains an irrational point

Number of group homomorphisms

Confusion about the definiton of $\mathrm{Hom}_G(V_1,V_2)$

Extending a homomorphism uniquely from $\mathbb{N}$ to $\mathbb{Z}$

Can someone explain and simplify projection maps and surjective homomorphisms

Given a specific 2 by 2 matrix that is a subset of all 2 by 2 real matrices find an isomorphisim between the matrix and complex number system

Surjective homomorphism?

Prove $\alpha:G\rightarrow H $ is a homomorphism (G,H finite) $\implies$ $|\alpha(G)|$ divides $|G|$ and $|H|$

$Hom_R(R,R/I)$ isomorphic to R/I as R-modules

Finding homomorphism for a specific kernel

Kernel of homomorphism/Normal Subgroup for nxn matrices under multiplication

Proving $\phi (N)$ is a normal subgroup of $\phi (G)$

Finite p-group contains normal subgroups $H_i$, $|H_i| = p^i$

An isomorphism onto the additive group $\mathbb{Z}\times\mathbb{Z}$

Let u be a strictly positive endomorphism with distinct eigenvalues. Prove that there exists unique v > 0 $v^2 =u$

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