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Existence of a prime ideal containing all but one minimal prime ideals

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#algebraic-geometry #commutative-algebra #ideals #maximal-and-prime-ideals
59
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Factor ring of Gaussian integers is a field

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#ring-theory #field-theory #ideals #maximal-and-prime-ideals #gaussian-integers
60
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Primes in the support appear in prime chains?

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#commutative-algebra #modules #maximal-and-prime-ideals
330
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Codimension inequality of prime ideal in a regular local ring

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#ring-theory #commutative-algebra #maximal-and-prime-ideals #krull-dimension #local-rings
788
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Is $(2,x,y)$ maximal ideal in $\mathbb Z[x,y]$?

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#abstract-algebra #ring-theory #soft-question #maximal-and-prime-ideals
175
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If $A$ is Noetherian, and $x$ is a non-unit and non zero-divisor, then can $(xr)=(r)$ for any non-unit $r$?

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#abstract-algebra #ring-theory #commutative-algebra #maximal-and-prime-ideals #noetherian
93
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A question related to the codimension of ideals

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#abstract-algebra #ring-theory #commutative-algebra #maximal-and-prime-ideals
1k
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Prime ideal $\implies$ maximal in a Boolean ring

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#abstract-algebra #ideals #maximal-and-prime-ideals #boolean-ring
78
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If factor ring is domain ( non commutative ), then quotient must be prime

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#abstract-algebra #ring-theory #ideals #maximal-and-prime-ideals
88
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The only maximal ideal of the set of all function germs around $p$

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#abstract-algebra #differential-topology #maximal-and-prime-ideals #tangent-spaces #germs
34
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Find a sequence in a non-principal ultrafilter that decreases to a point

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#maximal-and-prime-ideals #filters
83
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Sets without Dirichlet/polar density

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#number-theory #algebraic-number-theory #maximal-and-prime-ideals
147
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Prime ideals of subrings of the ring of Gaussian integers

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#abstract-algebra #ring-theory #algebraic-number-theory #maximal-and-prime-ideals #gaussian-integers
34
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Does $\{(f)：ℙ↣ℙ\}$ contain any analytic members $f$?, and if so What is the simplest such injective $f$? Are all $f$ necessarily monotonic?

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#analysis #functions #prime-numbers #maximal-and-prime-ideals #principal-bundles
197
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Describe $\operatorname{Spec}(\mathbb{R}[x]/(x^n))$

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#abstract-algebra #algebraic-geometry #commutative-algebra #maximal-and-prime-ideals #zariski-topology

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