List questions from unique-factorization-domains

235

Views

For given positive integers $s$ and $t$, how many integer solutions are there to $x^2+7y^2=3^411^s23^t$?

Published on 31 May 2020 - 15:27

116

Views

Field of fractions over $k[X,Y]$

Published on 02 Jun 2020 - 12:05

274

Views

Cardinality of Primes in UFDs over Infinite Sets

Published on 04 Jun 2020 - 19:53

94

Views

On non-factoriality of a class of simple hypersurface singularities

Published on 05 Jun 2020 - 14:39

41

Views

A question on a necessary and sufficient condition of UFD

Published on 09 Jun 2020 - 5:11

397

Views

Every proper ideal can be written as a product of maximal ideals in PID (product and intersection)

Published on 09 Jun 2020 - 5:26

800

Views

Does a prime ideal contains an irreducible element?

Published on 09 Jun 2020 - 13:48

331

Views

Does irreducibility corresponds to maximal ideals.

Published on 13 Jun 2020 - 3:42

1.5k

Views

How to prove Gaussian Integers is a UFD Formally

Published on 14 Jun 2020 - 5:50

125

Views

A non-unit which is neither irreducible, nor a product of irreducibles.

Published on 21 Jun 2020 - 10:26

716

Views

When is $\mathbb Z[\sqrt d]$ a Euclidean or principal ideal domain?

Published on 22 Jun 2020 - 7:22

468

Views

List of quadratic field with the UFD property

Published on 09 Jul 2020 - 21:37

60

Views

UFD is also an ideal of a ring

Published on 11 Jul 2020 - 14:23

68

Views

If $R$ is an integral domain and $a/b\in \operatorname{Frac}(R)$. Is $R[a/b]$ a UFD?

Published on 13 Jul 2020 - 22:32

379

Views

Is $\mathbb{Z}(\sqrt{11})$ a UFD?

Published on 15 Jul 2020 - 10:11

List Question

For given positive integers $s$ and $t$, how many integer solutions are there to $x^2+7y^2=3^411^s23^t$?

Field of fractions over $k[X,Y]$

Cardinality of Primes in UFDs over Infinite Sets

On non-factoriality of a class of simple hypersurface singularities

A question on a necessary and sufficient condition of UFD

Every proper ideal can be written as a product of maximal ideals in PID (product and intersection)

Does a prime ideal contains an irreducible element?

Does irreducibility corresponds to maximal ideals.

How to prove Gaussian Integers is a UFD Formally

A non-unit which is neither irreducible, nor a product of irreducibles.

When is $\mathbb Z[\sqrt d]$ a Euclidean or principal ideal domain?

List of quadratic field with the UFD property

UFD is also an ideal of a ring

If $R$ is an integral domain and $a/b\in \operatorname{Frac}(R)$. Is $R[a/b]$ a UFD?

Is $\mathbb{Z}(\sqrt{11})$ a UFD?

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