Question

Defining $G$-module from representation.

score 48 · Answer 1 · 2026-04-14 12:38:02

48

Views

Defining $G$-module from representation.

Published on 14 Apr 2026 - 12:38

score 48 · Answer 2 · 2026-04-16 13:41:08

48

Views

Help showing associativity when multiplying group element by vector.

Published on 16 Apr 2026 - 13:41

score 76 · Answer 3 · 2026-04-13 13:10:52

76

Views

Algebraic structures with opposite subalgebra lattices and congruence lattices that are not groups with operators

Published on 13 Apr 2026 - 13:10

score 121 · Answer 4 · 2026-04-17 10:12:48

121

Views

Primitive idempotents of a semisimple algebra PAP

Published on 17 Apr 2026 - 10:12

score 179 · Answer 5 · 2026-04-07 16:07:42

179

Views

Projective and injective ideals of $\mathbb Z/n\mathbb Z$ as $\mathbb Z/n\mathbb Z$-modules

Published on 07 Apr 2026 - 16:07

score 52 · Answer 6 · 2026-04-14 16:56:46

52

Views

If $B$ is a flat $A$-algebra, $M$ an $A$-module, and $x\neq 0\in M$, why does $Ax \cong A/\mathfrak a$ imply $B(1\otimes x) \cong B/\mathfrak{a}^e$

Published on 14 Apr 2026 - 16:56

score 101 · Answer 7 · 2026-03-25 16:01:27

101

Views

The direct sum of modules is generated by their union

Published on 25 Mar 2026 - 16:01

score 39 · Answer 8 · 2026-04-10 17:08:12

39

Views

Linear sum of intersections of submodules

Published on 10 Apr 2026 - 17:08

score 31 · Answer 9 · 2026-04-08 23:37:23

31

Views

Checking $(\mathbb{Z}/k\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}=0$.

Published on 08 Apr 2026 - 23:37

score 51 · Answer 10 · 2026-04-16 08:48:41

51

Views

Isomorphic $\mathbb{C}[G]$-modules

Published on 16 Apr 2026 - 8:48

score 24 · Answer 11 · 2026-04-10 16:39:51

24

Views

The linear sum of a finite number of finitely generated submodules is finitely generated.

Published on 10 Apr 2026 - 16:39

score 45 · Answer 12 · 2026-04-12 03:53:06

45

Views

Induced modules of for Virasoro, Witt algebras

Published on 12 Apr 2026 - 3:53

score 49 · Answer 13 · 2026-04-16 11:15:02

49

Views

length of $\mathbb{C}[x]/(x^{50}+x+1)\mathbb{C}[x]$ as a $\mathbb{C}[x]$-module

Published on 16 Apr 2026 - 11:15

score 45 · Answer 14 · 2026-04-14 21:37:31

45

Views

In a ring R with unity, let z$\in$M, M a unital left R-module, showing $_RR$/$Ann_R$(z) is isomorphic to <z>_R

Published on 14 Apr 2026 - 21:37

score 127 · Answer 15 · 2026-04-14 07:34:17

127

Views

Does there exist a ring such that all modules are decomposable?

Published on 14 Apr 2026 - 7:34

List Question

Defining $G$-module from representation.

Help showing associativity when multiplying group element by vector.

Algebraic structures with opposite subalgebra lattices and congruence lattices that are not groups with operators

Primitive idempotents of a semisimple algebra PAP

Projective and injective ideals of $\mathbb Z/n\mathbb Z$ as $\mathbb Z/n\mathbb Z$-modules

If $B$ is a flat $A$-algebra, $M$ an $A$-module, and $x\neq 0\in M$, why does $Ax \cong A/\mathfrak a$ imply $B(1\otimes x) \cong B/\mathfrak{a}^e$

The direct sum of modules is generated by their union

Linear sum of intersections of submodules

Checking $(\mathbb{Z}/k\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}=0$.

Isomorphic $\mathbb{C}[G]$-modules

The linear sum of a finite number of finitely generated submodules is finitely generated.

Induced modules of for Virasoro, Witt algebras

length of $\mathbb{C}[x]/(x^{50}+x+1)\mathbb{C}[x]$ as a $\mathbb{C}[x]$-module

In a ring R with unity, let z$\in$M, M a unital left R-module, showing $_RR$/$Ann_R$(z) is isomorphic to <z>_R

Does there exist a ring such that all modules are decomposable?

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