Question

Ring of integral elements of a commutative ring.

score 355 · Answer 1 · 2018-01-17 09:28:57

355

Views

Ring of integral elements of a commutative ring.

Published on 17 Jan 2018 - 9:28

score 78 · Answer 2 · 2018-01-19 17:38:41

78

Views

Integrality and ring morphisms $f:R\to S$

Published on 19 Jan 2018 - 17:38

score 242 · Answer 3 · 2018-01-25 07:21:23

242

Views

In Integral extension of domains injectivity of ring maps from the extension ring followed from the injectivity of the restriction to the base ring.

Published on 25 Jan 2018 - 7:21

score 134 · Answer 4 · 2026-02-22 21:30:27

134

Views

When prime element in an integral domain stays prime in integral extension

Published on 22 Feb 2026 - 21:30

score 96 · Answer 5 · 2018-01-28 07:13:48

96

Views

Irreducible elements remain irreducible in integral closure?

Published on 28 Jan 2018 - 7:13

score 167 · Answer 6 · 2026-02-22 21:31:45

167

Views

Are there any interesting results in quadratic extensions that adjoin $2^k$th roots of unity beyond the Gaussian Integers?

Published on 22 Feb 2026 - 21:31

score 158 · Answer 7 · 2018-02-02 23:48:32

158

Views

Ideas on proving or disproving a ring is integrally closed

Published on 02 Feb 2018 - 23:48

score 193 · Answer 8 · 2018-02-14 19:44:23

193

Views

Given a prime ideal $P$ in a valuation ring $A$, there is a valuation ring $B$ containing $A$ such that $B/PB$ is the fraction field of $A/P$ ?

Published on 14 Feb 2018 - 19:44

score 224 · Answer 9 · 2026-02-22 21:04:09

224

Views

For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

Published on 22 Feb 2026 - 21:04

score 296 · Answer 10 · 2018-03-07 20:17:20

296

Views

Integral domain over which every non-constant irreducible polynomial has degree 1

Published on 07 Mar 2018 - 20:17

score 262 · Answer 11 · 2026-02-22 21:49:51

262

Views

Integral domain with Noetherian spectrum and algebraically closed fraction field

Published on 22 Feb 2026 - 21:49

score 235 · Answer 12 · 2018-03-22 11:11:51

235

Views

In an integral extension $A\subseteq B$, when $B$ Noetherian implies $A$ Noetherian?

Published on 22 Mar 2018 - 11:11

score 438 · Answer 13 · 2018-04-22 15:30:19

438

Views

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

Published on 22 Apr 2018 - 15:30

score 52 · Answer 14 · 2018-04-28 23:59:50

52

Views

"Non-monic" integral closure?

Published on 28 Apr 2018 - 23:59

score 727 · Answer 15 · 2018-06-14 16:06:15

727

Views

How can I compute the discriminant of the field $\mathbb{Q}(\sqrt[3]{28})$?

Published on 14 Jun 2018 - 16:06

List Question

Ring of integral elements of a commutative ring.

Integrality and ring morphisms $f:R\to S$

In Integral extension of domains injectivity of ring maps from the extension ring followed from the injectivity of the restriction to the base ring.

When prime element in an integral domain stays prime in integral extension

Irreducible elements remain irreducible in integral closure?

Are there any interesting results in quadratic extensions that adjoin $2^k$th roots of unity beyond the Gaussian Integers?

Ideas on proving or disproving a ring is integrally closed

Given a prime ideal $P$ in a valuation ring $A$, there is a valuation ring $B$ containing $A$ such that $B/PB$ is the fraction field of $A/P$ ?

For a non-zero principal ideal $I=(x)$ of a ring of integers of an algebraic number field, $|A/I|=| N_{L|\mathbb Q } (x)|$

Integral domain over which every non-constant irreducible polynomial has degree 1

Integral domain with Noetherian spectrum and algebraically closed fraction field

In an integral extension $A\subseteq B$, when $B$ Noetherian implies $A$ Noetherian?

$B \subseteq A$ be an integral extension of integral domains where $B$ is normal; if $P \in Spec A$ and $Q=P\cap B$, then $\dim A_P=\dim B_Q$?

"Non-monic" integral closure?

How can I compute the discriminant of the field $\mathbb{Q}(\sqrt[3]{28})$?

Trending Questions

Popular # Hahtags

Popular Questions