Question

Are $I$-adically complete $R$-modules the same as $I$-adically complete $R^\wedge_I$-modules?

score 171 · Answer 1 · 2026-03-26 12:33:45

171

Views

Are $I$-adically complete $R$-modules the same as $I$-adically complete $R^\wedge_I$-modules?

Published on 26 Mar 2026 - 12:33

score 55 · Answer 2 · 2026-03-27 19:33:28

55

Views

When is $n\mathbb{Z}_{mn}$ a summand of $\mathbb{Z}_{mn}$?

Published on 27 Mar 2026 - 19:33

score 100 · Answer 3 · 2026-04-09 13:10:51

100

Views

Is $f$ an isomorphism?

Published on 09 Apr 2026 - 13:10

score 96 · Answer 4 · 2026-03-25 14:22:36

96

Views

Definition: Invariants of Hopf modules

Published on 25 Mar 2026 - 14:22

score 76 · Answer 5 · 2026-03-26 01:02:08

76

Views

Are the categories $U(\mathfrak{g})$-$\mathrm{mod}$ and $\mathfrak{g}$-$\mathrm{rep}$ equivalent?

Published on 26 Mar 2026 - 1:02

score 50 · Answer 6 · 2026-04-11 03:23:44

50

Views

The semi artinianity of a module is preserved under module morphism.

Published on 11 Apr 2026 - 3:23

score 58 · Answer 7 · 2020-02-29 11:39:31

58

Views

Let $N\subset P \subset M$ be $R$-modules and $M'\subset M$ another $R$-module. If $N+M' = P + M'$ and $N\cap M' = P \cap M' $ then $N=P$.

Published on 29 Feb 2020 - 11:39

score 171 · Answer 8 · 2026-04-11 09:44:44

171

Views

Localisation of modules is localisation of category

Published on 11 Apr 2026 - 9:44

score 102 · Answer 9 · 2026-03-25 11:02:42

102

Views

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

Published on 25 Mar 2026 - 11:02

score 29 · Answer 10 · 2026-04-09 08:05:07

29

Views

Is $R/J^2$ right finitely generated?

Published on 09 Apr 2026 - 8:05

score 31 · Answer 11 · 2020-03-01 11:08:43

31

Views

Why $x\in r(b)$ implies that $Mx\subseteq \text{Ann}^{M}(b)$?

Published on 01 Mar 2020 - 11:08

score 68 · Answer 12 · 2026-04-09 05:30:38

68

Views

How can I define a module over a Boolean ring?

Published on 09 Apr 2026 - 5:30

score 58 · Answer 13 · 2026-03-28 09:56:50

58

Views

Invertible operator such that its characteristic and minimal polynomials coincide

Published on 28 Mar 2026 - 9:56

score 79 · Answer 14 · 2026-03-27 23:37:48

79

Views

$\operatorname{pd}(M)\leq n\implies\operatorname{Ext}_{R}^{n+1}(M,N)=0$

Published on 27 Mar 2026 - 23:37

score 319 · Answer 15 · 2020-03-02 14:03:45

319

Views

Condition for Morita equivalence

Published on 02 Mar 2020 - 14:03

List Question

Are $I$-adically complete $R$-modules the same as $I$-adically complete $R^\wedge_I$-modules?

When is $n\mathbb{Z}_{mn}$ a summand of $\mathbb{Z}_{mn}$?

Is $f$ an isomorphism?

Definition: Invariants of Hopf modules

Are the categories $U(\mathfrak{g})$-$\mathrm{mod}$ and $\mathfrak{g}$-$\mathrm{rep}$ equivalent?

The semi artinianity of a module is preserved under module morphism.

Let $N\subset P \subset M$ be $R$-modules and $M'\subset M$ another $R$-module. If $N+M' = P + M'$ and $N\cap M' = P \cap M' $ then $N=P$.

Localisation of modules is localisation of category

The endomorphism ring of a uniserial module over a right Noetherian ring or a commutative ring is local

Is $R/J^2$ right finitely generated?

Why $x\in r(b)$ implies that $Mx\subseteq \text{Ann}^{M}(b)$?

How can I define a module over a Boolean ring?

Invertible operator such that its characteristic and minimal polynomials coincide

$\operatorname{pd}(M)\leq n\implies\operatorname{Ext}_{R}^{n+1}(M,N)=0$

Condition for Morita equivalence

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