List questions from graded-rings

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102

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Why is this projective curve in $\mathbf{P}^3_k$ nonsingular?

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677

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Projecting an affine hypersurface away from a point in its projective closure is never a finite map?

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Grading and commutators

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402

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Is the length of the composition series of a free module identical to the number of its bases?

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Associated Graded Module

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Is every minimal set of generators for a homogeneous ideal composed by homogeneous elements?

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Graded rings and modules - which book to refer to?

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Krull dimension and Hilbert polynomial of graded rings

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maximal chains of graded prime ideals

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List Question

Height unmixed homogeneous ideal and a non-zero divisor

Why is this projective curve in $\mathbf{P}^3_k$ nonsingular?

Projecting an affine hypersurface away from a point in its projective closure is never a finite map?

Grading and commutators

Is the length of the composition series of a free module identical to the number of its bases?

Why we can consider both modules as modules over $R_{(p)}$? (Bruns and Herzog, Theorem 1.5.9)

Associated Graded Module

Is every minimal set of generators for a homogeneous ideal composed by homogeneous elements?

Graded tensor algebra

Natural examples of multiplicatively-graded rings

Sign convention for derivatives in a $\mathbb{Z}_2$ graded space

Graded rings and modules - which book to refer to?

Krull dimension and Hilbert polynomial of graded rings

maximal chains of graded prime ideals

Maximal homogeneous ideals of a graded $k$-algebra.

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