List questions from integral-domain

Published on 19 Mar 2016 - 11:34

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Order of an element in an integral domain

Published on 19 Mar 2016 - 21:54

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Where Fermat's last theorem fails

Published on 26 Mar 2016 - 1:33

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Prove that the Gaussian Integers are an integral domain

Published on 28 Mar 2016 - 0:31

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Are rings of fractions of integral domains closed under finite intersection?

Published on 28 Mar 2016 - 19:44

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The polynomial of minimal degree with root $\alpha$ is unique.

Published on 28 Mar 2016 - 23:42

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Which are integral domains? Fields?

Published on 29 Mar 2016 - 3:16

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Show $\mathbb {R}[x,y]/(y^2-x, y-x)$ is not an integral domain

Published on 29 Mar 2016 - 3:39

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In an Integral Domain is it true that $\gcd(ac,ab) = a\gcd(c,b)$?

Published on 02 Apr 2016 - 21:09

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Example of GCD in UFD that can't be expressed as linear combination

Published on 03 Apr 2016 - 6:03

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Example of finite field extension where root not separable

Published on 12 Apr 2016 - 19:38

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Let $D$ be a principal ideal domain. Show that every proper ideal of $D$ is contained in a maximal ideal of $D$.

Published on 16 Apr 2016 - 0:07

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Determine the integral closure of a ring.

Published on 18 Apr 2016 - 22:00

895

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Extension of the fields of fractions of integral domains

Published on 19 Apr 2016 - 20:51

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Prove or disprove that the ring $\mathbb{Z}[x]/(x^2-1)$ is an integral domain

Published on 19 Apr 2016 - 23:53

List Question

Prime element and irreducible

Order of an element in an integral domain

Where Fermat's last theorem fails

Prove that the Gaussian Integers are an integral domain

Are rings of fractions of integral domains closed under finite intersection?

The polynomial of minimal degree with root $\alpha$ is unique.

Which are integral domains? Fields?

Show $\mathbb {R}[x,y]/(y^2-x, y-x)$ is not an integral domain

In an Integral Domain is it true that $\gcd(ac,ab) = a\gcd(c,b)$?

Example of GCD in UFD that can't be expressed as linear combination

Example of finite field extension where root not separable

Let $D$ be a principal ideal domain. Show that every proper ideal of $D$ is contained in a maximal ideal of $D$.

Determine the integral closure of a ring.

Extension of the fields of fractions of integral domains

Prove or disprove that the ring $\mathbb{Z}[x]/(x^2-1)$ is an integral domain

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