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15
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Hilbert-Samuel multiplicity of standard graded $k$-algebra which is an integral domain and $k$ is algebraically closed

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#commutative-algebra #cohen-macaulay #projective-varieties #hilbert-polynomial #graded-algebras
22
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On an analogy of the highest generating degree and reduction of ideals

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#commutative-algebra #monomial-ideals #projective-varieties #graded-algebras #regular-rings
73
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Symbolic Rees Algebra of an ideal in a Noetherian excellent ring

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#commutative-algebra #graded-rings #blowup #primary-decomposition #graded-algebras
116
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Computation of Associated Graded Module

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#commutative-algebra #solution-verification #graded-modules #filtrations #graded-algebras
521
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Reason to apply the Koszul sign rule everywhere in graded contexts

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#abstract-algebra #tensor-products #graded-rings #graded-modules #graded-algebras
104
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Hilbert functions for affine vs projective varieties and filtered vs graded algebras.

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#algebraic-geometry #hilbert-polynomial #graded-algebras #filtered-modules
75
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Graded Rings , divided polynomial algebra

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#abstract-algebra #ring-theory #graded-rings #graded-algebras
91
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Where does the dualization of maps sign come from in graded vector spaces?

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#linear-algebra #vector-spaces #graded-modules #graded-algebras #differential-graded-algebras
142
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local versus graded free resolutions

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#commutative-algebra #free-modules #local-rings #graded-modules #graded-algebras
98
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Graded algebras in Tu's book "An introduction to manifolds"

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#abstract-algebra #differential-geometry #manifolds #graded-algebras
23
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Symmetric Algebra of a Graded Module

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#graded-rings #graded-modules #graded-algebras
180
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Symmetric Algebra and Graded Symmetric Algebra of a Graded Module

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#linear-algebra #abstract-algebra #homological-algebra #graded-algebras
59
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Quotient of Graded Algebra is Graded

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#abstract-algebra #ideals #quotient-spaces #graded-rings #graded-algebras
286
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Exterior algebra as a quotient is the same as exterior algebra as a vector subspace of the tensor algebra.

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#linear-algebra #abstract-algebra #vector-spaces #exterior-algebra #graded-algebras
99
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Exterior Algebra as a quotient is or is not compatible with Exterior Algebra as a vector subspace space with $\det$ convention of wedge product?

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#linear-algebra #abstract-algebra #quotient-spaces #exterior-algebra #graded-algebras

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