Question

Dual of Schanuel's Lemma

score 165 · Answer 1 · 2018-07-18 15:34:30

165

Views

Dual of Schanuel's Lemma

Published on 18 Jul 2018 - 15:34

score 343 · Answer 2 · 2018-07-19 15:30:35

343

Views

Showing that the map $R/I \otimes_R R/J \to R$, $(r+I) \otimes (s+I) \mapsto rs$ is well defined

Published on 19 Jul 2018 - 15:30

score 31 · Answer 3 · 2018-07-19 18:57:09

31

Views

Show that $\text{End}_R(R_R, R_R) = R$ as rings.

Published on 19 Jul 2018 - 18:57

score 101 · Answer 4 · 2018-07-20 09:37:42

101

Views

On a proof of free modules over a commutative ring having all basis of the same cardinal

Published on 20 Jul 2018 - 9:37

score 30 · Answer 5 · 2018-07-21 19:44:21

30

Views

Showing that we can't always align the decompositions of finitely generated modules over PID

Published on 21 Jul 2018 - 19:44

score 271 · Answer 6 · 2026-03-27 12:01:43

271

Views

Structure theorem for modules over PIDs and abelian groups.

Published on 27 Mar 2026 - 12:01

score 94 · Answer 7 · 2026-03-25 07:48:19

94

Views

Is $\operatorname{Hom}(E,M)$ simple as an $\operatorname{End}(M)$-module if $E$ is simple?

Published on 25 Mar 2026 - 7:48

score 121 · Answer 8 · 2026-03-27 14:58:42

121

Views

Existence of direct summand isomorphic to $\mathbb{Q}_p[P]$

Published on 27 Mar 2026 - 14:58

score 94 · Answer 9 · 2026-03-27 04:38:35

94

Views

Quotient of annihilator of simple n-dim $\mathfrak{sl}_2$-module is $M_2(\mathbb{C})$?

Published on 27 Mar 2026 - 4:38

score 46 · Answer 10 · 2026-03-27 15:07:37

46

Views

How to show that $Aa/Ja \cong Af/Jf$?

Published on 27 Mar 2026 - 15:07

score 179 · Answer 11 · 2026-03-25 07:45:45

179

Views

If $R$ is a Dedekind domain and $I, J \triangleleft R$, then $R^d \oplus I \simeq R^{d'} \oplus J$ implies $d = d'$ and $I \simeq J$

Published on 25 Mar 2026 - 7:45

score 854 · Answer 12 · 2018-07-25 02:00:17

854

Views

How do I show that this quotient is a Noetherian Ring?

Published on 25 Jul 2018 - 2:00

score 487 · Answer 13 · 2018-07-25 06:37:58

487

Views

How do I show a minimal left ideal of a finite dimensional simple algebra exists? What can you say about its endomorphism ring?

Published on 25 Jul 2018 - 6:37

score 74 · Answer 14 · 2026-03-27 16:27:40

74

Views

Tensor product of free and indecomposable modules over $K[t]$

Published on 27 Mar 2026 - 16:27

score 71 · Answer 15 · 2026-03-25 01:22:20

71

Views

Do we have a nice classification of injective modules over a local ring?

Published on 25 Mar 2026 - 1:22

List Question

Dual of Schanuel's Lemma

Showing that the map $R/I \otimes_R R/J \to R$, $(r+I) \otimes (s+I) \mapsto rs$ is well defined

Show that $\text{End}_R(R_R, R_R) = R$ as rings.

On a proof of free modules over a commutative ring having all basis of the same cardinal

Showing that we can't always align the decompositions of finitely generated modules over PID

Structure theorem for modules over PIDs and abelian groups.

Is $\operatorname{Hom}(E,M)$ simple as an $\operatorname{End}(M)$-module if $E$ is simple?

Existence of direct summand isomorphic to $\mathbb{Q}_p[P]$

Quotient of annihilator of simple n-dim $\mathfrak{sl}_2$-module is $M_2(\mathbb{C})$?

How to show that $Aa/Ja \cong Af/Jf$?

If $R$ is a Dedekind domain and $I, J \triangleleft R$, then $R^d \oplus I \simeq R^{d'} \oplus J$ implies $d = d'$ and $I \simeq J$

How do I show that this quotient is a Noetherian Ring?

How do I show a minimal left ideal of a finite dimensional simple algebra exists? What can you say about its endomorphism ring?

Tensor product of free and indecomposable modules over $K[t]$

Do we have a nice classification of injective modules over a local ring?

Trending Questions

Popular # Hahtags

Popular Questions