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Computing henselization DVR

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#abstract-algebra #algebraic-geometry #local-rings
68
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On radical finite generation of the maximal ideal of a local ring

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#commutative-algebra #valuation-theory #local-rings
1.4k
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Local ring and zero divisors

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#commutative-algebra #local-rings
602
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Is the sheaf of differentials of a smooth morphism locally free?

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#algebraic-geometry #schemes #affine-varieties #local-rings
191
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Valuation ring which is not a DVR but has finite residue field

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#commutative-algebra #examples-counterexamples #valuation-theory #local-rings
411
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Étale morphism induces isomorphism of tangent spaces

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#abstract-algebra #algebraic-geometry #commutative-algebra #local-rings
188
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Local ring with principal maximal ideal and $\cap_{n>0}\mathfrak{m}^n=\{0\}$ is Noetherian?

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#commutative-algebra #noetherian #local-rings
316
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Local Cohen-Macaulay ring of minimal multiplicity

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#commutative-algebra #homological-algebra #local-rings #cohen-macaulay
104
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Nonzero-divisor on the associated graded ring at the maximal ideal implies nonzero-divisor on the ring?

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#commutative-algebra #homological-algebra #graded-rings #local-rings
299
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Relationship between the depth of a local Cohen-Macaulay ring and its associated graded ring

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#commutative-algebra #homological-algebra #local-rings #cohen-macaulay
77
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Why are one-sided ideals used for the general notion of local rings?

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#abstract-algebra #terminology #local-rings
958
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Counterexample: Local Artinian ring is not a PID

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#ring-theory #commutative-algebra #principal-ideal-domains #local-rings #artinian
412
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Regular local rings are normal

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#abstract-algebra #commutative-algebra #local-rings
107
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What is the local ring $\mathscr{O}_P(\mathbb A ^2)$?

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#algebraic-geometry #commutative-algebra #local-rings
61
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Image of a local map is closed in $m$-adic topology

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#abstract-algebra #local-rings #topological-rings #rigid-analytic-spaces

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