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Localization and Direct limit

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#category-theory #commutative-algebra #abstract-algebra
778
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What is necessary and/or sufficient for polynomials to provide isomorphic quotient rings?

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#abstract-algebra #polynomials #ring-theory #commutative-algebra
194
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Example of strict inclusion for the localization of associated primes

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#commutative-algebra #modules
531
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Kähler differentials of the cuspidal cubic

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#algebraic-geometry #commutative-algebra
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Why does the intersection of these ideals equal their product?

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#abstract-algebra #commutative-algebra #chinese-remainder-theorem
696
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Strong approximation theorem for Dedekind Domains

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#commutative-algebra #algebraic-number-theory
1.6k
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Difference between algebraic and integral extension

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#abstract-algebra #commutative-algebra #extension-field #integral-dependence
1k
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Submodules and quotients of free modules over Noetherian local rings

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#abstract-algebra #commutative-algebra #modules
943
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Zorn's lemma and maximal ideals

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#logic #commutative-algebra
992
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Irreducibility of some multivariate polynomials

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#abstract-algebra #polynomials #ring-theory #commutative-algebra #irreducible-polynomials
431
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Euclid's proof of the infinitude of primes to prove this question

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#abstract-algebra #polynomials #commutative-algebra #irreducible-polynomials
569
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Is every local ring the localization of some other ring?

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#ring-theory #commutative-algebra
145
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Ring such that $q^2\mid p^2$ does not imply $q\mid p$?

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#abstract-algebra #commutative-algebra #divisibility
125
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Global dimension regular rings of finite type

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#abstract-algebra #ring-theory #commutative-algebra #homological-algebra #krull-dimension
384
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What kind of points are there in a finite type $k$-scheme?

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#algebraic-geometry #commutative-algebra

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