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Are Saturated Ideals Radical?

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#algebraic-geometry #commutative-algebra
700
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Upper Semi-Continuity of the Rank of the Fibre of a Sheaf

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#proof-verification #algebraic-geometry #commutative-algebra #sheaf-theory #affine-varieties
935
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Grading equivalent to action of multiplicative group scheme

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#algebraic-geometry #commutative-algebra #group-schemes
218
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Why do we use homogeneous localisation (from a universal perspective)?

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#algebraic-geometry #commutative-algebra #schemes #localization #graded-rings
84
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How many prime ideals in the polynomial algebra?

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#commutative-algebra
47
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Is there an effective way to tell whether two homogeneous polynomials are isomorphic?

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#algebraic-geometry #polynomials #reference-request #commutative-algebra #complex-geometry
38
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Find supports of functions on a ring

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#algebraic-geometry #commutative-algebra
49
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Field of fractions of PID R with infinitely many max ideals not a f.g. R-algebra

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#commutative-algebra
59
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The a.c.c. on radical ideals fails in the ring of algebraic integers

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#commutative-algebra #algebraic-number-theory
552
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Prime ideals and maximal ideals of the Pullback of rings

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#algebraic-geometry #ring-theory #commutative-algebra #homological-algebra #pullback
64
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Commutative ring with some special kind of localizations being Noetherian

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#commutative-algebra #localization
234
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Tensor a finite algebra with the residue field

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#commutative-algebra
1.4k
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$(0)$ and $p^n\mathbb{Z}$ (where $p$ prime, $n$ positive integer) are the only primary ideals in $\mathbb{Z}$

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#abstract-algebra #ring-theory #commutative-algebra #ideals #primary-decomposition
302
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Non-zero-divisor in quotient ring: Not a unit over minimal prime?

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#commutative-algebra
789
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Why is the direct image sheaf a left exact functor and not just exact?

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#algebraic-geometry #commutative-algebra #sheaf-theory

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