List questions from integral-domain

Published on 22 Sep 2015 - 18:10

151

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non-trivial solutions to $x^2=x$ in a ring?

Published on 23 Sep 2015 - 16:09

166

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How can we show that all the solutions are given by $X_m(a), Y_m(a)$?

Published on 26 Sep 2015 - 0:38

143

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is $\Bbb{Q}$ a GCD Domain?

Published on 26 Sep 2015 - 5:21

55

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If $V,W$ are valuation domains, then $V+W$ is a ring.

Published on 29 Sep 2015 - 16:28

83

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Is D/A an integral domain?

Published on 04 Oct 2015 - 14:50

124

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General Question about Integral domains.

Published on 08 Oct 2015 - 19:04

162

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Showing that if $(a,b)=1$ and if $a\mid c$ and $b\mid c$ then $ab \mid c$, in GCD domains

Published on 10 Oct 2015 - 0:18

53

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A principal maximal ideal

Published on 12 Oct 2015 - 11:54

89

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Derivative with respect to a variable that is in the region of integration

Published on 12 Mar 2026 - 7:03

2.6k

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Show the set of GCD's of two elements in an integral domain is the set of associates of their GCD

Published on 23 Oct 2015 - 2:17

125

Views

Relation between a maximal ideal and an invertible ideal

Published on 24 Oct 2015 - 12:44

730

Views

Prove that dimension of $A$ is zero iff it is a field, where $A$ is an integral domain.

Published on 23 Mar 2026 - 10:09

629

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Generators of polynomial rings in relation to a quotient ring.

Published on 28 Oct 2015 - 11:00

37

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Show that each element of $K$ can be written as $\frac{b}{a}$ where, $b\in B, a\in A$

Published on 30 Oct 2015 - 12:25

List Question

To what is $X_{-m}+\alpha (a)Y_{-m}$ equal?

non-trivial solutions to $x^2=x$ in a ring?

How can we show that all the solutions are given by $X_m(a), Y_m(a)$?

is $\Bbb{Q}$ a GCD Domain?

If $V,W$ are valuation domains, then $V+W$ is a ring.

Is D/A an integral domain?

General Question about Integral domains.

Showing that if $(a,b)=1$ and if $a\mid c$ and $b\mid c$ then $ab \mid c$, in GCD domains

A principal maximal ideal

Derivative with respect to a variable that is in the region of integration

Show the set of GCD's of two elements in an integral domain is the set of associates of their GCD

Relation between a maximal ideal and an invertible ideal

Prove that dimension of $A$ is zero iff it is a field, where $A$ is an integral domain.

Generators of polynomial rings in relation to a quotient ring.

Show that each element of $K$ can be written as $\frac{b}{a}$ where, $b\in B, a\in A$

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