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Hilbert function of a primary ideal

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#abstract-algebra #algebraic-geometry #commutative-algebra #ideals #hilbert-polynomial
97
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Fractional ideals invertible at minimal primes only containing zero divisors

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#algebraic-geometry #ring-theory #commutative-algebra #modules
84
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Definition of differential forms on $\mathbf P^n$.

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#differential-geometry #algebraic-geometry #commutative-algebra
1.6k
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Maximal Ideals in $K[X,Y]$

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#commutative-algebra
1.1k
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Does an $R$-module structure on $S$ induce a ring homomorphism $f:R\to S$?

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#ring-theory #commutative-algebra #modules
117
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Intuition for $\mathcal O(1)$ and $\mathcal O(-1)$ on $\mathbf P^n$

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#algebraic-geometry #commutative-algebra
83
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Specific dimension calculation

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#abstract-algebra #ring-theory #commutative-algebra
75
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If $x$ is a prime ideal, then $\overline{\{x\}}=V(p_x)$, where $V(x)$ is the set of prime ideals that contains $x$.

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#commutative-algebra
946
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Definition of minimal free resolution

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#commutative-algebra #homological-algebra
173
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Is the product of Jacobson rings a Jacobson ring?

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#abstract-algebra #commutative-algebra #category-theory
142
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How can one prove that any finite dimensional commutative $\mathbb{R}$-algebra $A$ has simple modules of dimension $\le$ 2

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#commutative-algebra #modules #representation-theory
30
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Does the cyclic algebra construction preserve surjective maps and direct products?

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#abstract-algebra #ring-theory #commutative-algebra #modules
1.6k
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Freeness of stalk Implies locally free

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#commutative-algebra #coherent-sheaves
149
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Do the local sections of $\text{Spec}(R)$ have open supports (generalization of Hartshorne ex2.1.14)?

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#algebraic-geometry #commutative-algebra #sheaf-theory
248
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Galois cover ramified at some points

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#abstract-algebra #number-theory #algebraic-geometry #commutative-algebra #etale-cohomology

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