List questions from unique-factorization-domains

Published on 30 Mar 2014 - 9:34

446

Views

Proof for Unique Factorization Domain

Published on 06 Apr 2014 - 18:17

359

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Possible Irreducible but NOT prime!

Published on 07 Apr 2014 - 19:37

1.3k

Views

Coordinate ring of the unit circle is never a UFD?

Published on 10 Apr 2014 - 1:41

193

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Does Shor's algorithm work for noncommutitive or nonassociative algebras?

Published on 15 Apr 2014 - 0:33

37

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How to determine this solutions?

Published on 15 Apr 2014 - 2:14

841

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Definition of improper divisor in algebra

Published on 06 May 2014 - 15:23

902

Views

What does it mean for a factorization to be unique up to unit factors?

Published on 06 May 2014 - 19:17

232

Views

If $R$ is a noetherian local ring, then every 2-generated ideal has finite projective dimension iff $R$ is a UFD

Published on 20 May 2014 - 11:33

180

Views

How do I work out the last sentence in this section of a proof of the Unique Factorization Theorem?

Published on 23 May 2014 - 22:55

95

Views

help ! discriminant of a polynomial

Published on 27 May 2014 - 17:34

542

Views

UFD yields height of certain primes at most $1$

Published on 01 Jun 2014 - 10:43

1.8k

Views

Normal if and only if is UFD

Published on 03 Jun 2014 - 4:34

291

Views

Elements as a product of unit and power of element in UFD

Published on 05 Jun 2014 - 14:50

76

Views

Let $R$ be a UFD and $p,q,r \in R$. $pq=r^3$ and $\gcd(p,q)=1$ then $p,q$ are cubes up to associates.

Published on 13 Jun 2014 - 9:02

List Question

Every irreducible element is prime: always holds under surjective ring homomorphism?

Proof for Unique Factorization Domain

Possible Irreducible but NOT prime!

Coordinate ring of the unit circle is never a UFD?

Does Shor's algorithm work for noncommutitive or nonassociative algebras?

How to determine this solutions?

Definition of improper divisor in algebra

What does it mean for a factorization to be unique up to unit factors?

If $R$ is a noetherian local ring, then every 2-generated ideal has finite projective dimension iff $R$ is a UFD

How do I work out the last sentence in this section of a proof of the Unique Factorization Theorem?

help ! discriminant of a polynomial

UFD yields height of certain primes at most $1$

Normal if and only if is UFD

Elements as a product of unit and power of element in UFD

Let $R$ be a UFD and $p,q,r \in R$. $pq=r^3$ and $\gcd(p,q)=1$ then $p,q$ are cubes up to associates.

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