Question

$0 \subset (x_1 - a_1) \subset (x_1 - a_1, x_2-a_2) \subset ... \subset (x_1-a_1,..., x_n - a_n)$ is a (strictly) ascending chain of prime ideals

score 100 · Answer 1 · 2026-03-25 20:12:44

100

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$0 \subset (x_1 - a_1) \subset (x_1 - a_1, x_2-a_2) \subset ... \subset (x_1-a_1,..., x_n - a_n)$ is a (strictly) ascending chain of prime ideals

Published on 25 Mar 2026 - 20:12

score 2.9k · Answer 2 · 2026-03-26 12:44:30

2.9k

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Show that every Euclidean ring is a principal ring

Published on 26 Mar 2026 - 12:44

score 267 · Answer 3 · 2026-03-27 10:45:57

267

Views

About morphisms to the direct sum of modules

Published on 27 Mar 2026 - 10:45

score 148 · Answer 4 · 2026-04-03 09:27:37

148

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proof about irreducible polynomials with complex roots in Q

Published on 03 Apr 2026 - 9:27

score 2.2k · Answer 5 · 2026-03-25 18:58:42

2.2k

Views

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Published on 25 Mar 2026 - 18:58

score 107 · Answer 6 · 2026-03-29 17:06:51

107

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Image of the complement of an ideal - when $\phi\left(R\setminus I\right)=\phi\left(I\right)\setminus \phi\left(I\right)$?

Published on 29 Mar 2026 - 17:06

score 463 · Answer 7 · 2026-04-09 11:21:48

463

Views

Finite Non Commutative Rings of Cardinality n

Published on 09 Apr 2026 - 11:21

score 52 · Answer 8 · 2026-04-03 07:21:18

52

Views

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Published on 03 Apr 2026 - 7:21

score 208 · Answer 9 · 2026-03-27 18:26:17

208

Views

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Published on 27 Mar 2026 - 18:26

score 616 · Answer 10 · 2026-03-29 17:13:19

616

Views

A prime ideal of a polynomial ring

Published on 29 Mar 2026 - 17:13

score 77 · Answer 11 · 2019-07-16 13:14:18

77

Views

Group and ring isomorphism

Published on 16 Jul 2019 - 13:14

score 106 · Answer 12 · 2026-03-29 17:55:03

106

Views

Find a ring with nonzero elements $a,b,c$ such that $ab=ca=0$ but $ba\neq 0$.

Published on 29 Mar 2026 - 17:55

score 191 · Answer 13 · 2019-07-17 13:12:24

191

Views

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Published on 17 Jul 2019 - 13:12

score 111 · Answer 14 · 2026-03-27 08:45:58

111

Views

if $\sum n! $ converges in $\mathbb{Z_p}$ ring then what about convergence of $\sum n$?

Published on 27 Mar 2026 - 8:45

score 61 · Answer 15 · 2019-07-17 18:35:36

61

Views

Form of $(x,y) \mapsto (\lambda x^n+\cdots,\mu x^n+\cdots) \in k[x^{1/m},x^{-1/m},y]$

Published on 17 Jul 2019 - 18:35

List Question

$0 \subset (x_1 - a_1) \subset (x_1 - a_1, x_2-a_2) \subset ... \subset (x_1-a_1,..., x_n - a_n)$ is a (strictly) ascending chain of prime ideals

Show that every Euclidean ring is a principal ring

About morphisms to the direct sum of modules

proof about irreducible polynomials with complex roots in Q

Non Commutative Polynomial Ring

Image of the complement of an ideal - when $\phi\left(R\setminus I\right)=\phi\left(I\right)\setminus \phi\left(I\right)$?

Finite Non Commutative Rings of Cardinality n

Prove the colums are linearly dependent over an integral domain

Normal subgroup and ideal inclusion

A prime ideal of a polynomial ring

Group and ring isomorphism

Find a ring with nonzero elements $a,b,c$ such that $ab=ca=0$ but $ba\neq 0$.

The order of a product of two elements in a ring

if $\sum n! $ converges in $\mathbb{Z_p}$ ring then what about convergence of $\sum n$?

Form of $(x,y) \mapsto (\lambda x^n+\cdots,\mu x^n+\cdots) \in k[x^{1/m},x^{-1/m},y]$

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