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Realize the locus of homogeneous polynomials of degree $d$ as a projective variety.

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#linear-algebra #algebraic-geometry #commutative-algebra #projective-geometry #projective-space
717
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Power basis for a number field

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#commutative-algebra #field-theory #algebraic-number-theory
517
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Is $\mathbb{Z}[\frac{1}{2}]$ Noetherian?

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#abstract-algebra #commutative-algebra #noetherian
340
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If some four of given five distinct points in projective plane are collinear , then there are more than one conic passing through the five points

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#polynomials #commutative-algebra #algebraic-curves #projective-space
676
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Show that the ideal $(XY+XZ+YZ,XYZ) = (X,Y)(Y,Z)(X,Z)$ and the irreducibility of the vanishing sets of the factors.

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#abstract-algebra #commutative-algebra #ideals #zariski-topology #affine-varieties
146
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Quasi-Coherence of $Hom$ Sheaf

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#ring-theory #commutative-algebra
205
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Property of the Zariski Topology $V(J) \subset V(I)$

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#algebraic-geometry #commutative-algebra #zariski-topology
53
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Properties of Ring Completion

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#ring-theory #commutative-algebra
553
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Every finitely generated $R$-module has simple quotient

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#abstract-algebra #ring-theory #commutative-algebra #modules
470
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Is this a closed embedding of schemes?

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#algebraic-geometry #commutative-algebra #schemes
96
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Kähler Differential Of Submodules

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#abstract-algebra #commutative-algebra #field-theory #extension-field
887
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Motivation behind the Krull Dimension of a ring

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #krull-dimension
81
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Special $k$-algebra is finitely generated

Published on
#commutative-algebra #algebras
206
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Hom and tensor in local Ring

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#abstract-algebra #commutative-algebra #tensor-products #local-rings
66
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High-degree pieces of graded ideal with coprime generators

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#abstract-algebra #ring-theory #commutative-algebra #ideals #graded-rings

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