Question

Determining which of the following Quotients is a Field

score 68 · Answer 1 · 2026-02-24 17:16:20

68

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Determining which of the following Quotients is a Field

Published on 24 Feb 2026 - 17:16

score 59 · Answer 2 · 2023-01-30 20:54:30

59

Views

Intersections of ideals in $\mathbb{C}[x,y]$

Published on 30 Jan 2023 - 20:54

score 95 · Answer 3 · 2023-02-02 04:22:13

95

Views

How to prove that $J$ is a prime ideal?

Published on 02 Feb 2023 - 4:22

score 30 · Answer 4 · 2026-04-01 05:21:32

30

Views

Properties of an ideal located between two prime ideals.

Published on 01 Apr 2026 - 5:21

score 42 · Answer 5 · 2026-04-06 06:38:42

42

Views

Terminology for flat ideal deformations

Published on 06 Apr 2026 - 6:38

score 40 · Answer 6 · 2026-03-25 15:49:55

40

Views

Local Noetherian ring with several properties is a PIR

Published on 25 Mar 2026 - 15:49

score 42 · Answer 7 · 2023-02-05 16:20:59

42

Views

Is the product of ideals the same as their tensor product?

Published on 05 Feb 2023 - 16:20

score 71 · Answer 8 · 2023-02-09 15:32:58

71

Views

Equivalent condition of $A/I\cong A/J$.

Published on 09 Feb 2023 - 15:32

score 45 · Answer 9 · 2023-02-10 07:35:12

45

Views

Is this an erratum in Serge Lang's Algebra, page 851 "we have $a = bx$ so $\overline{a} = 0$. I'm not seeing that to be true.

Published on 10 Feb 2023 - 7:35

score 36 · Answer 10 · 2026-04-01 05:18:28

36

Views

Which of the following statements are correct regarding $I(x)?$

Published on 01 Apr 2026 - 5:18

score 381 · Answer 11 · 2026-04-01 05:23:06

381

Views

Show that an ideal $M \ne R$ in a commutative ring $R$ with unity is maximal if and only if for every $r∈R−M$, there exists $x∈R$ such that $1_R−rx∈M$

Published on 01 Apr 2026 - 5:23

score 95 · Answer 12 · 2026-03-26 13:00:44

95

Views

Justify the use of Zorn's Lemma in a proof

Published on 26 Mar 2026 - 13:00

score 29 · Answer 13 · 2026-04-01 05:23:06

29

Views

Let $R$ be an integral domain. Let $I$ and $J$ be nonzero prime ideals such that $I\subsetneq J$. If $I$ is principal, show that $J$ is not principal.

Published on 01 Apr 2026 - 5:23

score 65 · Answer 14 · 2026-03-25 15:45:30

65

Views

Are zero dimensional Ideals radical?

Published on 25 Mar 2026 - 15:45

score 85 · Answer 15 · 2023-02-17 14:26:36

85

Views

Is a commutative Ring $R$ with $1$ indecomposable as an $R$-module?

Published on 17 Feb 2023 - 14:26

List Question

Determining which of the following Quotients is a Field

Intersections of ideals in $\mathbb{C}[x,y]$

How to prove that $J$ is a prime ideal?

Properties of an ideal located between two prime ideals.

Terminology for flat ideal deformations

Local Noetherian ring with several properties is a PIR

Is the product of ideals the same as their tensor product?

Equivalent condition of $A/I\cong A/J$.

Is this an erratum in Serge Lang's Algebra, page 851 "we have $a = bx$ so $\overline{a} = 0$. I'm not seeing that to be true.

Which of the following statements are correct regarding $I(x)?$

Show that an ideal $M \ne R$ in a commutative ring $R$ with unity is maximal if and only if for every $r∈R−M$, there exists $x∈R$ such that $1_R−rx∈M$

Justify the use of Zorn's Lemma in a proof

Let $R$ be an integral domain. Let $I$ and $J$ be nonzero prime ideals such that $I\subsetneq J$. If $I$ is principal, show that $J$ is not principal.

Are zero dimensional Ideals radical?

Is a commutative Ring $R$ with $1$ indecomposable as an $R$-module?

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