Question

On countable direct sums: do we have $(R^{\omega})^{\omega}\approx R^{\omega}$?

score 37 · Answer 1 · 2017-02-08 19:27:23

37

Views

On countable direct sums: do we have $(R^{\omega})^{\omega}\approx R^{\omega}$?

Published on 08 Feb 2017 - 19:27

score 287 · Answer 2 · 2017-02-13 02:32:56

287

Views

What's wrong or where is the AOC required in this proof? (free modules over a PID)

Published on 13 Feb 2017 - 2:32

score 241 · Answer 3 · 2017-02-14 23:05:26

241

Views

Isomorphic Submodules implies Isomorphic Quotients?

Published on 14 Feb 2017 - 23:05

score 351 · Answer 4 · 2026-03-26 16:06:56

351

Views

commutative ring with unity is finitely generated module and integral domain is free module.

Published on 26 Mar 2026 - 16:06

score 50 · Answer 5 · 2017-02-18 17:09:21

50

Views

counter example of a free module whose rank is less than the number of linearly independent elements

Published on 18 Feb 2017 - 17:09

score 448 · Answer 6 · 2017-02-26 19:52:02

448

Views

Direct Sum of Projective and Free Modules

Published on 26 Feb 2017 - 19:52

score 41 · Answer 7 · 2026-03-27 22:20:02

41

Views

Let $R$ a ring and $M$ be an $R-$module freely generated by a set $X$, and let $Y$ be a subset of $X$. Show that $Y$ freely generates $RY$

Published on 27 Mar 2026 - 22:20

score 84 · Answer 8 · 2017-03-14 17:25:17

84

Views

The module $Ra$ is free on $A$?

Published on 14 Mar 2017 - 17:25

score 314 · Answer 9 · 2026-03-26 09:42:28

314

Views

Show two nonzero vectors $v$ and $w$ have the property $v\otimes w=w\otimes v$ iff there is $\lambda$ such that $v=\lambda w$

Published on 26 Mar 2026 - 9:42

score 204 · Answer 10 · 2017-03-17 08:10:33

204

Views

Show that the following conditions are equivalent

Published on 17 Mar 2017 - 8:10

score 292 · Answer 11 · 2017-03-19 02:14:29

292

Views

Local artinian ring and module with finite projective dimension

Published on 19 Mar 2017 - 2:14

score 1.7k · Answer 12 · 2017-03-31 16:30:31

1.7k

Views

Projective modules and $\hom(P,\cdot)$

Published on 31 Mar 2017 - 16:30

score 31 · Answer 13 · 2023-01-30 10:51:15

31

Views

constructing two automorphism

Published on 30 Jan 2023 - 10:51

score 179 · Answer 14 · 2023-02-03 15:42:19

179

Views

I need help proving the $R$-modules $\mathrm{Hom}_{R}(F, R)$ and $F$ are isomorphic. ($F$ is a free $R$-module of finite rank.)

Published on 03 Feb 2023 - 15:42

score 34 · Answer 15 · 2023-02-17 13:54:24

34

Views

Finding the basis of a free module over a commutative ring

Published on 17 Feb 2023 - 13:54

List Question

On countable direct sums: do we have $(R^{\omega})^{\omega}\approx R^{\omega}$?

What's wrong or where is the AOC required in this proof? (free modules over a PID)

Isomorphic Submodules implies Isomorphic Quotients?

commutative ring with unity is finitely generated module and integral domain is free module.

counter example of a free module whose rank is less than the number of linearly independent elements

Direct Sum of Projective and Free Modules

Let $R$ a ring and $M$ be an $R-$module freely generated by a set $X$, and let $Y$ be a subset of $X$. Show that $Y$ freely generates $RY$

The module $Ra$ is free on $A$?

Show two nonzero vectors $v$ and $w$ have the property $v\otimes w=w\otimes v$ iff there is $\lambda$ such that $v=\lambda w$

Show that the following conditions are equivalent

Local artinian ring and module with finite projective dimension

Projective modules and $\hom(P,\cdot)$

constructing two automorphism

I need help proving the $R$-modules $\mathrm{Hom}_{R}(F, R)$ and $F$ are isomorphic. ($F$ is a free $R$-module of finite rank.)

Finding the basis of a free module over a commutative ring

Trending Questions

Popular # Hahtags

Popular Questions