Question

How many minimal prime Ideals in an integral domain?

score 893 · Answer 1 · 2018-03-17 12:37:34

893

Views

How many minimal prime Ideals in an integral domain?

Published on 17 Mar 2018 - 12:37

score 52 · Answer 2 · 2018-03-17 20:29:13

52

Views

R is integral domain prove that

Published on 17 Mar 2018 - 20:29

score 20 · Answer 3 · 2026-03-25 16:44:22

20

Views

What is the ideal of the given ring?

Published on 25 Mar 2026 - 16:44

score 177 · Answer 4 · 2026-03-25 18:08:26

177

Views

Prove that $\alpha^2-3\alpha+1$ is not in the ideal $(5,\alpha+2)$ in $\mathbb{Z[\alpha]}$ where $\alpha=2^{1/3}$

Published on 25 Mar 2026 - 18:08

score 62 · Answer 5 · 2018-03-18 05:42:05

62

Views

$R$ is integral domain

Published on 18 Mar 2018 - 5:42

score 105 · Answer 6 · 2018-03-18 12:47:00

105

Views

Prime ideals corresponding to primary ideals in decompositon

Published on 18 Mar 2018 - 12:47

score 280 · Answer 7 · 2026-03-25 17:24:44

280

Views

On the annihilator of a certain quotient module

Published on 25 Mar 2026 - 17:24

score 53 · Answer 8 · 2026-03-25 06:22:07

53

Views

On finite generation of $IM$ where $M$ is an $R$-module and $I=Ann_R (M/N)$ , where $N$ is a finitely generated submodule of $M$

Published on 25 Mar 2026 - 6:22

score 60 · Answer 9 · 2018-03-18 17:58:36

60

Views

Abstract Algebra - define and find kernal of homomorphism from $\mathbb Q[x]$ to $\mathbb Q[\sqrt2]$

Published on 18 Mar 2018 - 17:58

score 483 · Answer 10 · 2018-03-18 19:55:44

483

Views

Matrix Ring over Semisimple Ring

Published on 18 Mar 2018 - 19:55

score 248 · Answer 11 · 2026-03-25 23:37:52

248

Views

Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"

Published on 25 Mar 2026 - 23:37

score 631 · Answer 12 · 2026-03-26 01:17:56

631

Views

Quotient rings (modules) of a bigger ideal is contained in the quotient ring (modules) of a smaller ideal?

Published on 26 Mar 2026 - 1:17

score 53 · Answer 13 · 2026-03-25 06:22:07

53

Views

On finite generation of a submodule $N$ of a finitely generated $R$-module $M$, such that $IM$ is finitely generated, where $I=Ann_R (M/N)$

Published on 25 Mar 2026 - 6:22

score 138 · Answer 14 · 2018-03-19 10:49:37

138

Views

Is $\mathbb{C}\otimes _{\mathbb{Z}} \mathbb{C}$ isomorphic to $\mathbb{C}\otimes _{\mathbb{Q}} \mathbb{C}$ as ring?

Published on 19 Mar 2018 - 10:49

score 155 · Answer 15 · 2026-03-25 18:07:49

155

Views

Generated ideal of an Element with $x=x^{2}$

Published on 25 Mar 2026 - 18:07

List Question

How many minimal prime Ideals in an integral domain?

R is integral domain prove that

What is the ideal of the given ring?

Prove that $\alpha^2-3\alpha+1$ is not in the ideal $(5,\alpha+2)$ in $\mathbb{Z[\alpha]}$ where $\alpha=2^{1/3}$

$R$ is integral domain

Prime ideals corresponding to primary ideals in decompositon

On the annihilator of a certain quotient module

On finite generation of $IM$ where $M$ is an $R$-module and $I=Ann_R (M/N)$ , where $N$ is a finitely generated submodule of $M$

Abstract Algebra - define and find kernal of homomorphism from $\mathbb Q[x]$ to $\mathbb Q[\sqrt2]$

Matrix Ring over Semisimple Ring

Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"

Quotient rings (modules) of a bigger ideal is contained in the quotient ring (modules) of a smaller ideal?

On finite generation of a submodule $N$ of a finitely generated $R$-module $M$, such that $IM$ is finitely generated, where $I=Ann_R (M/N)$

Is $\mathbb{C}\otimes _{\mathbb{Z}} \mathbb{C}$ isomorphic to $\mathbb{C}\otimes _{\mathbb{Q}} \mathbb{C}$ as ring?

Generated ideal of an Element with $x=x^{2}$

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