Question

Kernel of $\mathbb{Z}_p \to \mathbb{Z}/p^{n}\mathbb{Z}$ equals to $p^n \mathbb{Z}_p$.

score 144 · Answer 1 · 2026-03-25 04:41:04

144

Views

Kernel of $\mathbb{Z}_p \to \mathbb{Z}/p^{n}\mathbb{Z}$ equals to $p^n \mathbb{Z}_p$.

Published on 25 Mar 2026 - 4:41

score 169 · Answer 2 · 2026-03-25 04:43:40

169

Views

If $I$ is contained in the Jacobson radical of a Noetherian ring $A$ then $A\to \widehat{A}$ is faithfully flat.

Published on 25 Mar 2026 - 4:43

score 129 · Answer 3 · 2026-05-10 12:35:01

129

Views

$R$ be a Noetherian semi local ring such that $R/N(R)$ is complete $\mathrm{Jac}(R)$-adically, then $R$ is complete $\mathrm{Jac}(R)$-adically.

Published on 10 May 2026 - 12:35

score 330 · Answer 4 · 2026-03-25 04:36:27

330

Views

Completion of a polynomial ring over a complete ring

Published on 25 Mar 2026 - 4:36

score 88 · Answer 5 · 2026-03-25 04:39:16

88

Views

Does the exist any ring embedding from $\mathbb{Z}_p$, the ring of $p$-adic integers to $\mathbb{R}$?

Published on 25 Mar 2026 - 4:39

score 154 · Answer 6 · 2026-03-25 04:37:18

154

Views

Defining p-adic numbers via a formal completion.

Published on 25 Mar 2026 - 4:37

score 117 · Answer 7 · 2026-05-04 00:56:27

117

Views

Defining p-adic numbers via formal competion: Question about continuity of multiplication

Published on 04 May 2026 - 0:56

score 118 · Answer 8 · 2026-03-25 04:41:42

118

Views

If $\widehat{M}$ is a free $\widehat{R}$-module, then $M$ is a free $R$-module, $R$ is a Zariski ring.

Published on 25 Mar 2026 - 4:41

score 131 · Answer 9 · 2026-05-10 13:50:09

131

Views

Relationship Between the Dimension of an $R / \mathfrak m$-Vector Space and Its Completion in the $\mathfrak m$-adic Topology

Published on 10 May 2026 - 13:50

score 205 · Answer 10 · 2026-03-25 06:02:21

205

Views

$\mathbb{Z}_p=\varprojlim \mathbb{Z}/p^{n}\mathbb{Z}$ is uncountable.

Published on 25 Mar 2026 - 6:02

score 205 · Answer 11 · 2026-03-25 06:04:52

205

Views

Complete DVR containing a field isomorphic to residue field

Published on 25 Mar 2026 - 6:04

score 599 · Answer 12 · 2026-03-27 13:29:41

599

Views

Completions, localizations and prime ideals.

Published on 27 Mar 2026 - 13:29

score 190 · Answer 13 · 2026-03-25 06:05:48

190

Views

How to describe formal functions around the node of an algebraic curve

Published on 25 Mar 2026 - 6:05

score 79 · Answer 14 · 2026-03-25 06:01:50

79

Views

If a Noetherian local ring contains a field, then so does its $\mathfrak m$-adic completion?

Published on 25 Mar 2026 - 6:01

score 23 · Answer 15 · 2026-04-11 16:21:05

23

Views

Is there any way to show that the algebraic tensor product $A[[h]] \otimes A[[h]] \subsetneq (A \otimes A) [[h]]\ $?

Published on 11 Apr 2026 - 16:21

List Question

Kernel of $\mathbb{Z}_p \to \mathbb{Z}/p^{n}\mathbb{Z}$ equals to $p^n \mathbb{Z}_p$.

If $I$ is contained in the Jacobson radical of a Noetherian ring $A$ then $A\to \widehat{A}$ is faithfully flat.

$R$ be a Noetherian semi local ring such that $R/N(R)$ is complete $\mathrm{Jac}(R)$-adically, then $R$ is complete $\mathrm{Jac}(R)$-adically.

Completion of a polynomial ring over a complete ring

Does the exist any ring embedding from $\mathbb{Z}_p$, the ring of $p$-adic integers to $\mathbb{R}$?

Defining p-adic numbers via a formal completion.

Defining p-adic numbers via formal competion: Question about continuity of multiplication

If $\widehat{M}$ is a free $\widehat{R}$-module, then $M$ is a free $R$-module, $R$ is a Zariski ring.

Relationship Between the Dimension of an $R / \mathfrak m$-Vector Space and Its Completion in the $\mathfrak m$-adic Topology

$\mathbb{Z}_p=\varprojlim \mathbb{Z}/p^{n}\mathbb{Z}$ is uncountable.

Complete DVR containing a field isomorphic to residue field

Completions, localizations and prime ideals.

How to describe formal functions around the node of an algebraic curve

If a Noetherian local ring contains a field, then so does its $\mathfrak m$-adic completion?

Is there any way to show that the algebraic tensor product $A[[h]] \otimes A[[h]] \subsetneq (A \otimes A) [[h]]\ $?

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