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Are locally integral extensions integral?

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#commutative-algebra #integral-dependence
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An example of a henselian valuation of rank 2.

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#commutative-algebra #valuation-theory
140
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Computing generators of the positive component of a graded ring

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#abstract-algebra #commutative-algebra #algorithms #graded-rings
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A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal

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#abstract-algebra #ring-theory #commutative-algebra #ideals
160
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question about gradation of a ring

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#algebraic-geometry #commutative-algebra #graded-rings
354
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The kernel of $R \to A \otimes_R B$ is nil

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#commutative-algebra #tensor-products #nilpotence
789
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Is Serre's $S_1$ condition equivalent to having no embedded primes?

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#commutative-algebra
310
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Computing the Length of a finite length module.

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#algebraic-geometry #commutative-algebra
90
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Deducing a presentation for a complete intersection

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#commutative-algebra
136
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Local complete intersection ring

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#algebraic-geometry #commutative-algebra
498
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A nonfree module which is locally free

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#algebraic-geometry #commutative-algebra
1k
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Atiyah-Macdonald, Problem 6 of Chapter 1

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#abstract-algebra #ring-theory #commutative-algebra
60
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Interpretation of $\Omega_{A/k} \simeq A \otimes_k I/I^2$ for affine group schemes

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#algebraic-geometry #commutative-algebra
1k
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Difference between PID and principal ideal ring

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#commutative-algebra #principal-ideal-domains
392
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Plane curves isomorphic to the affine line

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#abstract-algebra #algebraic-geometry #commutative-algebra

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