Question

Is the bidual of a C*-algebra isomorphic to the universal enveloping von Nemann algebra as a Banach algebra?

score 146 · Answer 1 · 2026-03-17 22:30:55

146

Views

Is the bidual of a C*-algebra isomorphic to the universal enveloping von Nemann algebra as a Banach algebra?

Published on 17 Mar 2026 - 22:30

score 45 · Answer 2 · 2026-03-20 06:00:52

45

Views

$\ell(M/N) \leq \ell(M)$ if $M$ is an $A$-module

Published on 20 Mar 2026 - 6:00

score 64 · Answer 3 · 2026-03-24 12:53:53

64

Views

Ring, but not a field.

Published on 24 Mar 2026 - 12:53

score 65 · Answer 4 · 2026-03-19 17:53:19

65

Views

Are the $k[x]$-modules $M = k[x]/\langle x + 1 \rangle \oplus k[x]/\langle x + 1 \rangle $ and $N = k[x]/\langle (x + 1)^2 \rangle$ isomorphic?

Published on 19 Mar 2026 - 17:53

score 172 · Answer 5 · 2026-03-20 00:43:22

172

Views

Do we have $R\simeq S$ for two submodules $R,S$ of $A^n$?

Published on 20 Mar 2026 - 0:43

score 312 · Answer 6 · 2026-03-22 12:11:24

312

Views

Is $R$ finitely generated?

Published on 22 Mar 2026 - 12:11

score 1.5k · Answer 7 · 2026-03-20 01:41:35

1.5k

Views

FOL - If two models agree on every sentence are they isomorphic?

Published on 20 Mar 2026 - 1:41

score 266 · Answer 8 · 2026-03-19 19:34:19

266

Views

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Published on 19 Mar 2026 - 19:34

score 414 · Answer 9 · 2026-03-19 12:13:24

414

Views

Are two submodules (where one is contained in the other) isomorphic if their quotientmodules are isomorphic?

Published on 19 Mar 2026 - 12:13

score 39 · Answer 10 · 2026-03-20 07:06:41

39

Views

A problem about checking isomorphism of R-module

Published on 20 Mar 2026 - 7:06

score 320 · Answer 11 · 2026-03-22 08:39:17

320

Views

Is the Evaluation map of an R-Module of rank 1 and hom injective

Published on 22 Mar 2026 - 8:39

score 157 · Answer 12 · 2026-03-25 03:37:55

157

Views

Isomorphism between tensor product of modules and quotient module

Published on 25 Mar 2026 - 3:37

score 554 · Answer 13 · 2026-03-21 20:36:44

554

Views

Direct Sum In modules

Published on 21 Mar 2026 - 20:36

score 103 · Answer 14 · 2026-03-25 00:55:30

103

Views

Direct Sum of Sub modules and proof Verification

Published on 25 Mar 2026 - 0:55

score 241 · Answer 15 · 2026-03-17 09:05:42

241

Views

Direct Sum Of Torsion modules and Proof Verification

Published on 17 Mar 2026 - 9:05

List Question

Is the bidual of a C*-algebra isomorphic to the universal enveloping von Nemann algebra as a Banach algebra?

$\ell(M/N) \leq \ell(M)$ if $M$ is an $A$-module

Ring, but not a field.

Are the $k[x]$-modules $M = k[x]/\langle x + 1 \rangle \oplus k[x]/\langle x + 1 \rangle $ and $N = k[x]/\langle (x + 1)^2 \rangle$ isomorphic?

Do we have $R\simeq S$ for two submodules $R,S$ of $A^n$?

Is $R$ finitely generated?

FOL - If two models agree on every sentence are they isomorphic?

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Are two submodules (where one is contained in the other) isomorphic if their quotientmodules are isomorphic?

A problem about checking isomorphism of R-module

Is the Evaluation map of an R-Module of rank 1 and hom injective

Isomorphism between tensor product of modules and quotient module

Direct Sum In modules

Direct Sum of Sub modules and proof Verification

Direct Sum Of Torsion modules and Proof Verification

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