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New posts in unique-factorization-domains
Grade of a maximal prime ideal in a Noetherian UFD
commutative-algebra
noetherian
unique-factorization-domains
A Noetherian integral domain is a UFD iff $(f):(g)$ is principal
abstract-algebra
ring-theory
noetherian
unique-factorization-domains
Coordinate ring of the unit circle is never a UFD?
abstract-algebra
commutative-algebra
algebraic-curves
unique-factorization-domains
Is the ring of formal power series in infinitely many variables a unique factorization domain?
abstract-algebra
ring-theory
unique-factorization-domains
formal-power-series
Why don't these different factorizations of $7$ contradict number ring is UFD?
number-theory
field-theory
factoring
unique-factorization-domains
Arithmetic structure including both unique factorization and Dedekind domains
abstract-algebra
ring-theory
integral-domain
unique-factorization-domains
dedekind-domain
Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method
abstract-algebra
commutative-algebra
integral-domain
unique-factorization-domains
Is a polynomial ring over a UFD in countably many variables a UFD?
abstract-algebra
ring-theory
unique-factorization-domains
Is a polynomial $y^n+y^{n-1}-x^m-x^{m-1}$ irreducible in $\Bbb Z[x,y]$?
polynomials
irreducible-polynomials
unique-factorization-domains
Show that $\mathbb{C}[x,y]/(x^2+y^2-1)$ is a UFD. [duplicate]
abstract-algebra
ring-theory
commutative-algebra
unique-factorization-domains
Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD
abstract-algebra
solution-verification
unique-factorization-domains
Nonconstant polynomials have a composite value in a UFD with finitely many units
ring-theory
pigeonhole-principle
unique-factorization-domains
Picard group of UFD is trivial
commutative-algebra
modules
unique-factorization-domains
When are quadratic rings of integers unique factorization domains?
number-theory
commutative-algebra
integers
unique-factorization-domains
Is $k[x,y,z]/(x^2+y^2-z^2)$ a UFD?
commutative-algebra
unique-factorization-domains
An example showing $\mathbb{Z}[\sqrt[3]{7}]$ is not a UFD [closed]
abstract-algebra
algebraic-number-theory
prime-factorization
unique-factorization-domains
How does Local Cohomology detect UFD?
commutative-algebra
homological-algebra
unique-factorization-domains
local-cohomology
Why is not the ring $\mathbb{Z}[2\sqrt{2}]$ a unique factorization domain?
abstract-algebra
unique-factorization-domains
Is any UFD also a PID?
abstract-algebra
commutative-algebra
ring-theory
principal-ideal-domains
unique-factorization-domains
Is $\mathbb{Z}[\sqrt{15}]$ a UFD?
abstract-algebra
ring-theory
ideals
unique-factorization-domains
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