Question

Computing the norms of a non-principal ideal in $\Bbb Z[\sqrt{-5}]$?

score 609 · Answer 1 · 2026-05-10 12:34:46

609

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Computing the norms of a non-principal ideal in $\Bbb Z[\sqrt{-5}]$?

Published on 10 May 2026 - 12:34

score 556 · Answer 2 · 2026-05-10 12:31:25

556

Views

Every finitely generated $R$-module has simple quotient

Published on 10 May 2026 - 12:31

score 92 · Answer 3 · 2026-05-10 12:33:50

92

Views

$\bigoplus_{i=1}^\infty\mathbb{Z}\not\cong\prod_{i=1}^\infty\mathbb{Z}$

Published on 10 May 2026 - 12:33

score 337 · Answer 4 · 2026-04-11 01:15:34

337

Views

A question regarding a central idempotent in a ring $R$

Published on 11 Apr 2026 - 1:15

score 891 · Answer 5 · 2026-04-29 12:53:59

891

Views

Motivation behind the Krull Dimension of a ring

Published on 29 Apr 2026 - 12:53

score 310 · Answer 6 · 2026-04-29 12:42:52

310

Views

Characteristic of an integral domain: doubt in the proof

Published on 29 Apr 2026 - 12:42

score 175 · Answer 7 · 2026-05-10 11:21:01

175

Views

Is the ring of sequences elementarily equivalent to the subring of convergent sequences?

Published on 10 May 2026 - 11:21

score 102 · Answer 8 · 2026-04-18 10:19:53

102

Views

Quotient rings as complements of ideals

Published on 18 Apr 2026 - 10:19

score 77 · Answer 9 · 2026-05-10 08:14:00

77

Views

High-degree pieces of graded ideal with coprime generators

Published on 10 May 2026 - 8:14

score 2.8k · Answer 10 · 2026-04-14 11:54:54

2.8k

Views

Proof that a factorization domain is a unique factorization domain if and only if every irreducible element is prime.

Published on 14 Apr 2026 - 11:54

score 203 · Answer 11 · 2026-04-17 14:29:44

203

Views

Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

Published on 17 Apr 2026 - 14:29

score 259 · Answer 12 · 2026-05-10 12:44:57

259

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 10 May 2026 - 12:44

score 463 · Answer 13 · 2026-04-14 13:44:08

463

Views

Is $\mathbb{C}[x,y]/(y)$ always isomorphic to $\mathbb{C}[x]$

Published on 14 Apr 2026 - 13:44

score 834 · Answer 14 · 2026-04-29 12:25:08

834

Views

Determine kernel of localization map of ring

Published on 29 Apr 2026 - 12:25

score 87 · Answer 15 · 2026-04-13 20:40:06

87

Views

Noetherian ring that isn't euclidean?

Published on 13 Apr 2026 - 20:40

List Question

Computing the norms of a non-principal ideal in $\Bbb Z[\sqrt{-5}]$?

Every finitely generated $R$-module has simple quotient

$\bigoplus_{i=1}^\infty\mathbb{Z}\not\cong\prod_{i=1}^\infty\mathbb{Z}$

A question regarding a central idempotent in a ring $R$

Motivation behind the Krull Dimension of a ring

Characteristic of an integral domain: doubt in the proof

Is the ring of sequences elementarily equivalent to the subring of convergent sequences?

Quotient rings as complements of ideals

High-degree pieces of graded ideal with coprime generators

Proof that a factorization domain is a unique factorization domain if and only if every irreducible element is prime.

Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

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

Is $\mathbb{C}[x,y]/(y)$ always isomorphic to $\mathbb{C}[x]$

Determine kernel of localization map of ring

Noetherian ring that isn't euclidean?

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