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Exercise 11.1.G Vakil FOAG

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#algebraic-geometry #commutative-algebra #affine-schemes #flatness #dimension-theory-algebra
153
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Certain separable ring extensions

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#algebraic-geometry #commutative-algebra #integral-domain #flatness #separable-extension
68
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Example of non-flat $R \subseteq R[w]$

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#commutative-algebra #field-theory #flatness #separable-extension
309
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$M$ is flat iff $Tor_1(M,N)=0$?

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#commutative-algebra #flatness
129
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is $R/I$ flat over $S$ if $R/\sqrt{I}$ is flat over $S$ and $I$ is primary?

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#commutative-algebra #ideals #flatness
237
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Is $\mathbb Q[x,z]$ as a $\mathbb Q[x,y]$-module (with morphism $x\mapsto x$, $y\mapsto xz$) flat?

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#abstract-algebra #commutative-algebra #modules #flatness
48
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Help with understanding the definition of a Hodge groupoid

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#algebraic-geometry #flatness #groupoids
147
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Geometric intuition - flatness of morphism of stacks

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#flatness #algebraic-stacks
89
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Prove that elementary tensor is non-zero in proof of non-flatness

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#commutative-algebra #modules #flatness
70
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finitely generated submodules are flat

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#modules #flatness
122
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Example of graded module which is not flat

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#abstract-algebra #commutative-algebra #localization #flatness #graded-modules
52
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If $A \subseteq B$, then is $M \otimes A \subseteq M \otimes B$?

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#modules #tensor-products #flatness
50
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Is $\mathbb{C}[V]^G \subset \mathbb{C}[V]$ flat?

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#algebraic-geometry #group-actions #flatness
305
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When does restriction of scalars induce flat Modules?

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#abstract-algebra #modules #tensor-products #flatness
192
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Is restriction of scalars preserving injective modules equivalent to flatness?

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#ring-theory #noncommutative-algebra #flatness #injective-module

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