List questions from unique-factorization-domains

Published on 25 Mar 2026 - 21:50

136

Views

complex factorization of rational primes over the norm-Euclidean imaginary quadratic fields

Published on 16 Apr 2026 - 14:43

55

Views

Irreducible Element

Published on 13 Apr 2026 - 8:11

48

Views

Diophantine in Q[x]

Published on 10 May 2026 - 20:34

574

Views

Prove that $a^2+b^2=p$ has a unique solution $(a,b)\in\mathbb{Z}_{\ge0}^2$ with $a\le b$, where $p\equiv 1\pmod4$ is prime.

Published on 10 May 2026 - 16:14

122

Views

what is Z[x] in the sense of a unique factorization domain

Published on 12 Apr 2026 - 10:01

109

Views

Complete list of irreducible elements of a given ring

Published on 15 Apr 2026 - 9:22

162

Views

If $R$ is a UFD, then every prime element of $R$ generates a prime ideal

Published on 13 Apr 2026 - 22:10

105

Views

When $\mathbb{C}[u,v]$ is a UFD, for special $u,v \in \mathbb{C}[t]$?

Published on 10 May 2026 - 21:50

346

Views

Can a Unique Factorisation Domain be non-commutative?

Published on 25 Mar 2026 - 21:45

139

Views

Prime ideals in $R[x]$ that intersects $R$ trivially

Published on 15 Apr 2026 - 3:05

269

Views

Intersection of Ideals of coprime elements in a UFD

Published on 09 Apr 2026 - 11:43

240

Views

A corollary to Krull's Principal Ideal Theorem

Published on 12 Apr 2026 - 8:29

315

Views

Isomorphism from $Z[i]/(p)$ to $(p^n)/(p^{n+1})$ where $p$ is a irreducible element .

Published on 25 Mar 2026 - 21:49

193

Views

$f(x),g(x)$ co-prime in $R[X]$ with $R$ a UFD implies $f(x), g(x) $ co-prime in $\operatorname{Frac}(R)[X]$

Published on 15 Apr 2026 - 3:56

List Question

Is the ring of functions of an elliptic curve a UFD?

complex factorization of rational primes over the norm-Euclidean imaginary quadratic fields

Irreducible Element

Diophantine in Q[x]

Prove that $a^2+b^2=p$ has a unique solution $(a,b)\in\mathbb{Z}_{\ge0}^2$ with $a\le b$, where $p\equiv 1\pmod4$ is prime.

what is Z[x] in the sense of a unique factorization domain

Complete list of irreducible elements of a given ring

If $R$ is a UFD, then every prime element of $R$ generates a prime ideal

When $\mathbb{C}[u,v]$ is a UFD, for special $u,v \in \mathbb{C}[t]$?

Can a Unique Factorisation Domain be non-commutative?

Prime ideals in $R[x]$ that intersects $R$ trivially

Intersection of Ideals of coprime elements in a UFD

A corollary to Krull's Principal Ideal Theorem

Isomorphism from $Z[i]/(p)$ to $(p^n)/(p^{n+1})$ where $p$ is a irreducible element .

$f(x),g(x)$ co-prime in $R[X]$ with $R$ a UFD implies $f(x), g(x) $ co-prime in $\operatorname{Frac}(R)[X]$

Trending Questions

Popular # Hahtags

Popular Questions