Question

Does a two-way short exact sequence split?

score 51 · Answer 1 · 2020-04-09 21:32:24

51

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Does a two-way short exact sequence split?

Published on 09 Apr 2020 - 21:32

score 44 · Answer 2 · 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 412 · Answer 3 · 2020-04-13 21:28:29

412

Views

Direct product of groups of homomorphisms

Published on 13 Apr 2020 - 21:28

score 377 · Answer 4 · 2020-04-29 13:38:28

377

Views

Cyclic subgroups of maximum possible order of $\Bbb Z_6\times\Bbb Z_{10}\times\Bbb Z_{15}$ of the form $⟨a⟩\times⟨b⟩\times⟨c⟩.$

Published on 29 Apr 2020 - 13:38

score 697 · Answer 5 · 2020-04-29 20:17:05

697

Views

Is an infinite direct product or sum of non-trivial modules not finitely generated?

Published on 29 Apr 2020 - 20:17

score 782 · Answer 6 · 2026-03-25 21:22:56

782

Views

What is internal direct sum or internal direct product in Dummit and Foote?

Published on 25 Mar 2026 - 21:22

score 48 · Answer 7 · 2026-03-25 14:25:24

48

Views

Is the direct product $H \times K$ necessarily a central extension of $H$ by $K$ or $K$ by $H$?

Published on 25 Mar 2026 - 14:25

score 368 · Answer 8 · 2020-05-07 12:42:13

368

Views

The direct product of quotients is a quotient of the direct product

Published on 07 May 2020 - 12:42

score 16 · Answer 9 · 2026-03-07 11:01:01

16

Views

How do you denote functions inherited by a product space?

Published on 07 Mar 2026 - 11:01

score 234 · Answer 10 · 2026-03-25 14:25:19

234

Views

The only group $G$ with one $A$ and one $B$ as composition factors is $G = A\times B$ (where $A$ and $B$ are non-abelian, finite and simple)

Published on 25 Mar 2026 - 14:25

score 469 · Answer 11 · 2020-05-21 11:30:08

469

Views

Is Aut(G×H) isomorphic to Aut(G) × Aut(H)

Published on 21 May 2020 - 11:30

score 83 · Answer 12 · 2020-05-27 15:50:06

83

Views

Direct product of rings and its automorphisms

Published on 27 May 2020 - 15:50

score 193 · Answer 13 · 2020-06-01 14:22:43

193

Views

Direct Product of Rings and isomorphism

Published on 01 Jun 2020 - 14:22

score 260 · Answer 14 · 2020-06-08 18:35:45

260

Views

Bijection between tensor product of a product of modules and product of tensor products of modules

Published on 08 Jun 2020 - 18:35

score 49 · Answer 15 · 2026-03-26 03:01:27

49

Views

Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

Published on 26 Mar 2026 - 3:01

List Question

Does a two-way short exact sequence split?

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

Direct product of groups of homomorphisms

Cyclic subgroups of maximum possible order of $\Bbb Z_6\times\Bbb Z_{10}\times\Bbb Z_{15}$ of the form $⟨a⟩\times⟨b⟩\times⟨c⟩.$

Is an infinite direct product or sum of non-trivial modules not finitely generated?

What is internal direct sum or internal direct product in Dummit and Foote?

Is the direct product $H \times K$ necessarily a central extension of $H$ by $K$ or $K$ by $H$?

The direct product of quotients is a quotient of the direct product

How do you denote functions inherited by a product space?

The only group $G$ with one $A$ and one $B$ as composition factors is $G = A\times B$ (where $A$ and $B$ are non-abelian, finite and simple)

Is Aut(G×H) isomorphic to Aut(G) × Aut(H)

Direct product of rings and its automorphisms

Direct Product of Rings and isomorphism

Bijection between tensor product of a product of modules and product of tensor products of modules

Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

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