List questions from integral-domain

Published on 11 Nov 2018 - 19:15

146

Views

Non-zero Ideal in an Integral Domain is indecomposable

Published on 17 Nov 2018 - 17:12

199

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Example of a Noetherian domain which is not equidimensional

Published on 18 Nov 2018 - 8:16

356

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Integrally Closed (Normal) Domains

Published on 18 Nov 2018 - 17:46

264

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How to prove that $Ф(1) = 1'$ if $R'$ is an integral domain?

Published on 23 Nov 2018 - 16:28

60

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Integral Domains And Fields

Published on 29 Nov 2018 - 10:23

132

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$A\subset B\subset K$, $K$ field of fractions of $A$, $B$ flat over $A$ $\implies B=S^{-1}A\ ?$

Published on 30 Nov 2018 - 12:28

368

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Associate elements in non-integral domains.

Published on 01 Dec 2018 - 9:00

139

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Is it possible for an integral domain to have an ideal that cannot be generated by a countable set?

Published on 03 Dec 2018 - 10:12

412

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Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Published on 24 Mar 2026 - 1:22

457

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Why is $v(a) \leq v(ab)$ superfluous in Euclidean domain definition?

Published on 07 Dec 2018 - 14:44

406

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Unique prime ideal factorization in noetherian domains?

Published on 27 Dec 2018 - 12:10

106

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Unique prime ideal factorization in domains?

Published on 31 Dec 2018 - 13:21

636

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What will be the smallest ring containing two rings?

Published on 03 Jan 2019 - 10:50

206

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Are unique prime ideal factorization domains noetherian?

Published on 03 Jan 2019 - 15:06

List Question

Rings that are UFD except for the fact that they are not integral domains.

Non-zero Ideal in an Integral Domain is indecomposable

Example of a Noetherian domain which is not equidimensional

Integrally Closed (Normal) Domains

How to prove that $Ф(1) = 1'$ if $R'$ is an integral domain?

Integral Domains And Fields

$A\subset B\subset K$, $K$ field of fractions of $A$, $B$ flat over $A$ $\implies B=S^{-1}A\ ?$

Associate elements in non-integral domains.

Is it possible for an integral domain to have an ideal that cannot be generated by a countable set?

Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Why is $v(a) \leq v(ab)$ superfluous in Euclidean domain definition?

Unique prime ideal factorization in noetherian domains?

Unique prime ideal factorization in domains?

What will be the smallest ring containing two rings?

Are unique prime ideal factorization domains noetherian?

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