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15
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Graded version of Lazard's criterion

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#commutative-algebra #graded-rings #graded-modules
46
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Is Artinian assumption necessary here in Matsumura's book?

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#commutative-algebra #noetherian #graded-rings #graded-modules
63
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Isomorphism of graded modules

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#graded-rings #graded-modules
65
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Problem showing the saturation map of a graded ring f.g. in degree 1 induces an isomorphism of projective schemes and O(1) (The Rising Sea 15.6.G)

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#algebraic-geometry #sheaf-theory #schemes #graded-rings #projective-schemes
86
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Prime avoidance for graded Noetherian ring with infinite residue field.

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#commutative-algebra #ideals #maximal-and-prime-ideals #fake-proofs #graded-rings
48
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How is $R_iR_j$ defined in the definition of graded rings?

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#notation #graded-rings
18
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Homogeneous elements of graded algebras as polynomials of algebra generators

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#abstract-algebra #ring-theory #graded-rings #graded-algebras
55
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Graded rings and weighted projective spaces

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#algebraic-geometry #graded-rings
41
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Weighted projective spaces Iano-Fletcher

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#algebraic-geometry #graded-rings
66
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Is the category of graded modules over a graded-commutative ring an AB5 category?

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#category-theory #modules #abelian-categories #limits-colimits #graded-rings
75
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Computing the associated graded ring and its Poincaré/Hilbert series

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#abstract-algebra #ring-theory #commutative-algebra #graded-rings
69
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Degree of generators of intersection of ideals

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#abstract-algebra #commutative-algebra #graded-rings
50
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Is each component of a graded module over a $k$-algebra a finite-dimensional vector space?

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#vector-spaces #commutative-algebra #noetherian #graded-rings #graded-modules
47
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Example of non-graded ideal

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#commutative-algebra #ideals #graded-rings
57
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Graded pieces are finitely generated as $R_0$-modules

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#commutative-algebra #modules #finitely-generated #graded-rings

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